312699042432 has 128 divisors (see below), whose sum is σ = 1054738915200. Its totient is φ = 89342576640.

The previous prime is 312699042377. The next prime is 312699042437. The reversal of 312699042432 is 234240996213.

312699042432 is a `hidden beast` number, since 3 + 126 + 9 + 90 + 4 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×312699042432² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312699042437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6438669 + ... + 6487052.

It is an arithmetic number, because the mean of its divisors is an integer number (8240147775).

Almost surely, 2^312699042432 is an apocalyptic number.

312699042432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312699042432 is an abundant number, since it is smaller than the sum of its proper divisors (742039872768).

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

312699042432 is a wasteful number, since it uses less digits than its factorization.

312699042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925751 (or 12925733 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 312699042432 in words is "three hundred twelve billion, six hundred ninety-nine million, forty-two thousand, four hundred thirty-two".