315011860992 has 120 divisors (see below), whose sum is σ = 917192611764. Its totient is φ = 104074543104.

The previous prime is 315011860981. The next prime is 315011861039. The reversal of 315011860992 is 299068110513.

315011860992 is a `hidden beast` number, since 31 + 5 + 0 + 1 + 1 + 8 + 609 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221140705536 + 93871155456 = 470256^2 + 306384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218218 + ... + 823190.

Almost surely, 2^315011860992 is an apocalyptic number.

315011860992 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 315011860992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458596305882).

315011860992 is an abundant number, since it is smaller than the sum of its proper divisors (602180750772).

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

315011860992 is a wasteful number, since it uses less digits than its factorization.

315011860992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605110 (or 605091 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 315011860992 in words is "three hundred fifteen billion, eleven million, eight hundred sixty thousand, nine hundred ninety-two".