315872358912 has 400 divisors, whose sum is σ = 1045457354304. Its totient is φ = 94141440000.

The previous prime is 315872358899. The next prime is 315872358941. The reversal of 315872358912 is 219853278513.

315872358912 is a `hidden beast` number, since 3 + 1 + 58 + 7 + 2 + 3 + 589 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27822037 + ... + 27833387.

Almost surely, 2^315872358912 is an apocalyptic number.

315872358912 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 315872358912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522728677152).

315872358912 is an abundant number, since it is smaller than the sum of its proper divisors (729584995392).

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

315872358912 is a wasteful number, since it uses less digits than its factorization.

315872358912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11453 (or 11428 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 315872358912 in words is "three hundred fifteen billion, eight hundred seventy-two million, three hundred fifty-eight thousand, nine hundred twelve".