312813881640 has 128 divisors (see below), whose sum is σ = 1122921676800. Its totient is φ = 77000336640.

The previous prime is 312813881593. The next prime is 312813881651. The reversal of 312813881640 is 46188318213.

312813881640 is a `hidden beast` number, since 31 + 2 + 81 + 388 + 164 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11126056 + ... + 11154135.

It is an arithmetic number, because the mean of its divisors is an integer number (8772825600).

Almost surely, 2^312813881640 is an apocalyptic number.

312813881640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312813881640 is an abundant number, since it is smaller than the sum of its proper divisors (810107795160).

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

312813881640 is a wasteful number, since it uses less digits than its factorization.

312813881640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22280224 (or 22280214 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 312813881640 in words is "three hundred twelve billion, eight hundred thirteen million, eight hundred eighty-one thousand, six hundred forty".