312616876572 has 288 divisors, whose sum is σ = 1100302554624. Its totient is φ = 74952864000.

The previous prime is 312616876567. The next prime is 312616876597. The reversal of 312616876572 is 275678616213.

312616876572 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 1 + 68 + 7 + 6 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 812322 + ... + 1133622.

Almost surely, 2^312616876572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312616876572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550151277312).

312616876572 is an abundant number, since it is smaller than the sum of its proper divisors (787685678052).

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

312616876572 is a wasteful number, since it uses less digits than its factorization.

312616876572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321351 (or 321337 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 312616876572 in words is "three hundred twelve billion, six hundred sixteen million, eight hundred seventy-six thousand, five hundred seventy-two".