315016364162400 has 144 divisors (see below), whose sum is σ = 1025384035221504. Its totient is φ = 84003891079680.

The previous prime is 315016364162369. The next prime is 315016364162411. The reversal of 315016364162400 is 4261463610513.

It is a happy number.

It is a super-2 number, since 2×315016364162400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714324369 + ... + 714765231.

It is an arithmetic number, because the mean of its divisors is an integer number (7120722466816).

Almost surely, 2^{315016364162400} is an apocalyptic number.

315016364162400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315016364162400 is an abundant number, since it is smaller than the sum of its proper divisors (710367671059104).

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

315016364162400 is a wasteful number, since it uses less digits than its factorization.

315016364162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738613 (or 738600 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 315016364162400 in words is "three hundred fifteen trillion, sixteen billion, three hundred sixty-four million, one hundred sixty-two thousand, four hundred".