312551208008352 has 120 divisors (see below), whose sum is σ = 919494689452416. Its totient is φ = 104150836603008.

The previous prime is 312551208008329. The next prime is 312551208008357. The reversal of 312551208008352 is 253800802155213.

312551208008352 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 512 + 0 + 8 + 0 + 0 + 83 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312551208008298 and 312551208008307.

It is not an unprimeable number, because it can be changed into a prime (312551208008357) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10828558 + ... + 27246285.

Almost surely, 2^{312551208008352} is an apocalyptic number.

312551208008352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312551208008352 is an abundant number, since it is smaller than the sum of its proper divisors (606943481444064).

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

312551208008352 is a wasteful number, since it uses less digits than its factorization.

312551208008352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38078032 (or 38078015 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 312551208008352 in words is "three hundred twelve trillion, five hundred fifty-one billion, two hundred eight million, eight thousand, three hundred fifty-two".