312796457742912 has 1344 divisors, whose sum is σ = 1072711561082112. Its totient is φ = 78972597043200.

The previous prime is 312796457742803. The next prime is 312796457742913. The reversal of 312796457742912 is 219247754697213.

It is not an unprimeable number, because it can be changed into a prime (312796457742913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87057180988 + ... + 87057184580.

It is an arithmetic number, because the mean of its divisors is an integer number (798148482948).

Almost surely, 2^{312796457742912} is an apocalyptic number.

312796457742912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312796457742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536355780541056).

312796457742912 is an abundant number, since it is smaller than the sum of its proper divisors (759915103339200).

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

312796457742912 is a wasteful number, since it uses less digits than its factorization.

312796457742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3747 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 69.

The spelling of 312796457742912 in words is "three hundred twelve trillion, seven hundred ninety-six billion, four hundred fifty-seven million, seven hundred forty-two thousand, nine hundred twelve".