315788315969664 has 256 divisors, whose sum is σ = 973513281312000. Its totient is φ = 100646289580032.

The previous prime is 315788315969653. The next prime is 315788315969719. The reversal of 315788315969664 is 466969513887513.

315788315969664 is a `hidden beast` number, since 3 + 1 + 5 + 78 + 8 + 315 + 96 + 96 + 64 = 666.

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, 4972197 + ... + 25618340.

It is an arithmetic number, because the mean of its divisors is an integer number (3802786255125).

Almost surely, 2^{315788315969664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315788315969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486756640656000).

315788315969664 is an abundant number, since it is smaller than the sum of its proper divisors (657724965342336).

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

315788315969664 is a wasteful number, since it uses less digits than its factorization.

315788315969664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30590692 (or 30590674 counting only the distinct ones).

The product of its digits is 7054387200, while the sum is 81.

The spelling of 315788315969664 in words is "three hundred fifteen trillion, seven hundred eighty-eight billion, three hundred fifteen million, nine hundred sixty-nine thousand, six hundred sixty-four".