315872136216 has 256 divisors, whose sum is σ = 1084677350400. Its totient is φ = 82938774528.

The previous prime is 315872136199. The next prime is 315872136253. The reversal of 315872136216 is 612631278513.

It is a happy number.

315872136216 is a `hidden beast` number, since 3 + 1 + 5 + 8 + 7 + 2 + 13 + 621 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4426516 + ... + 4497308.

It is an arithmetic number, because the mean of its divisors is an integer number (4237020900).

Almost surely, 2^315872136216 is an apocalyptic number.

315872136216 is a gapful number since it is divisible by the number (36) 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 315872136216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542338675200).

315872136216 is an abundant number, since it is smaller than the sum of its proper divisors (768805214184).

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

315872136216 is a wasteful number, since it uses less digits than its factorization.

315872136216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71055 (or 71045 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 315872136216 in words is "three hundred fifteen billion, eight hundred seventy-two million, one hundred thirty-six thousand, two hundred sixteen".