312713665972992 has 216 divisors, whose sum is σ = 938043944714240. Its totient is φ = 100081078917120.

The previous prime is 312713665972943. The next prime is 312713665973011. The reversal of 312713665972992 is 299279566317213.

312713665972992 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 1 + 3 + 6 + 6 + 597 + 29 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 312713665972992.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8166442 + ... + 26308137.

Almost surely, 2^{312713665972992} is an apocalyptic number.

312713665972992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312713665972992 is an abundant number, since it is smaller than the sum of its proper divisors (625330278741248).

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

312713665972992 is a wasteful number, since it uses less digits than its factorization.

312713665972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34474759 (or 34474742 counting only the distinct ones).

The product of its digits is 462944160, while the sum is 72.

The spelling of 312713665972992 in words is "three hundred twelve trillion, seven hundred thirteen billion, six hundred sixty-five million, nine hundred seventy-two thousand, nine hundred ninety-two".