315664310604312 has 48 divisors (see below), whose sum is σ = 854939635873440. Its totient is φ = 105219533936448.

The previous prime is 315664310604277. The next prime is 315664310604347. The reversal of 315664310604312 is 213406013466513.

315664310604312 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 6 + 4 + 3 + 1 + 0 + 604 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (315664310604277) and next prime (315664310604347).

It is a super-2 number, since 2×315664310604312² (a number of 30 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 35632768 + ... + 43600719.

It is an arithmetic number, because the mean of its divisors is an integer number (17811242414030).

Almost surely, 2^{315664310604312} is an apocalyptic number.

It is an amenable number.

315664310604312 is an abundant number, since it is smaller than the sum of its proper divisors (539275325269128).

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

315664310604312 is a wasteful number, since it uses less digits than its factorization.

315664310604312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79288832 (or 79288825 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 315664310604312 in words is "three hundred fifteen trillion, six hundred sixty-four billion, three hundred ten million, six hundred four thousand, three hundred twelve".