346331632636656 has 60 divisors (see below), whose sum is σ = 987535244969208. Its totient is φ = 113265691174272.

The previous prime is 346331632636573. The next prime is 346331632636663. The reversal of 346331632636656 is 656636236133643.

346331632636656 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 316 + 3 + 263 + 6 + 6 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 346331632636593 and 346331632636602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22689433710 + ... + 22689448973.

Almost surely, 2^{346331632636656} is an apocalyptic number.

346331632636656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

346331632636656 is an abundant number, since it is smaller than the sum of its proper divisors (641203612332552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

346331632636656 is a wasteful number, since it uses less digits than its factorization.

346331632636656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45378882750 (or 45378882741 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 63.

The spelling of 346331632636656 in words is "three hundred forty-six trillion, three hundred thirty-one billion, six hundred thirty-two million, six hundred thirty-six thousand, six hundred fifty-six".