If I unlock an encrypted wallet for 359711509437336256 or less seconds, I can sign transactions with it:

    $ bitcoin-cli walletpassphrase "$x" 359711509437336256
    $ echo $?
    0
    $ bitcoin-cli signrawtransaction $tx | grep complete
      "complete": true

But if I unlock it for 359711509437336257 or more seconds, it appears to have unlocked but I can't sign any transactions:

    $ bitcoin-cli walletpassphrase "$x" 359711509437336257
    $ echo $?
    0
    $ bitcoin-cli signrawtransaction $tx | grep complete
    error code: -13
    error message:
    Error: Please enter the wallet passphrase with walletpassphrase first.

I don't know the significance of that number. It's nowhere near a power of 2.

I was trying to unlock the wallet effectively "forever", so put a big number. If I use too big a number (2^63 or more) I get an error message `JSON integer out of range` but for numbers between 359711509437336257 and 2^63-1 inclusive I get no error, but no actual unlocking.
bool include_unsafe = true;
    if (!request.params[3].isNull()) {
        RPCTypeCheckArgument(request.params[3], UniValue::VBOOL);
        include_unsafe = request.params[3].get_bool();
    }
    CAmount nMinimumAmount = 0;
    CAmount nMaximumAmount = MAX_MONEY;
    CAmount nMinimumSumAmount = MAX_MONEY;
    uint64_t nMaximumCount = 0;
    if (!request.params[4].isNull()) {
        const UniValue& options = request.params[4].get_obj();
        if (options.exists("minimumAmount"))
            nMinimumAmount = AmountFromValue(options["minimumAmount"]);
        if (options.exists("maximumAmount"))
            nMaximumAmount = AmountFromValue(options["maximumAmount"]);
        if (options.exists("minimumSumAmount"))
            nMinimumSumAmount = AmountFromValue(options["minimumSumAmount"]);
        if (options.exists("maximumCount"))
            nMaximumCount = options["maximumCount"].get_int64();
    }
    
    
    pwallet->BlockUntilSyncedToCurrentChain();
    UniValue results(UniValue::VARR);
    std::vector<COutput> vecOutputs;
    LOCK2(cs_main, pwallet->cs_wallet);
    pwallet->AvailableCoins(vecOutputs, !include_unsafe, nullptr, nMinimumAmount, nMaximumAmount, nMinimumSumAmount, nMaximumCount, nMinDepth, nMaxDepth);
    for (const COutput& out : vecOutputs) {
        CTxDestination address;
        const CScript& scriptPubKey = out.tx->tx->vout[out.i].scriptPubKey;