315327915222400 has 96 divisors (see below), whose sum is σ = 795532075858080. Its totient is φ = 123447524198400.

The previous prime is 315327915222389. The next prime is 315327915222409. The reversal of 315327915222400 is 4222519723513.

It is a super-3 number, since 3×315327915222400³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315327915222409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1048147191 + ... + 1048447990.

It is an arithmetic number, because the mean of its divisors is an integer number (8286792456855).

Almost surely, 2^{315327915222400} is an apocalyptic number.

It is an amenable number.

315327915222400 is an abundant number, since it is smaller than the sum of its proper divisors (480204160635680).

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

315327915222400 is a wasteful number, since it uses less digits than its factorization.

315327915222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096595252 (or 2096595235 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 315327915222400 in words is "three hundred fifteen trillion, three hundred twenty-seven billion, nine hundred fifteen million, two hundred twenty-two thousand, four hundred".