315087912988992 has 2016 divisors, whose sum is σ = 1140441109097472. Its totient is φ = 85629063168000.

The previous prime is 315087912988987. The next prime is 315087912988993. The reversal of 315087912988992 is 299889219780513.

315087912988992 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 87 + 91 + 298 + 89 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315087912988993) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 317949457617 + ... + 317949458607.

It is an arithmetic number, because the mean of its divisors is an integer number (565694994592).

Almost surely, 2^{315087912988992} is an apocalyptic number.

315087912988992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315087912988992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570220554548736).

315087912988992 is an abundant number, since it is smaller than the sum of its proper divisors (825353196108480).

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

315087912988992 is a wasteful number, since it uses less digits than its factorization.

315087912988992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 81.

The spelling of 315087912988992 in words is "three hundred fifteen trillion, eighty-seven billion, nine hundred twelve million, nine hundred eighty-eight thousand, nine hundred ninety-two".