315682966872 has 1024 divisors, whose sum is σ = 1159065600000. Its totient is φ = 79009136640.

The previous prime is 315682966871. The next prime is 315682966897. The reversal of 315682966872 is 278669286513.

It is a happy number.

315682966872 is a `hidden beast` number, since 3 + 1 + 568 + 2 + 9 + 6 + 68 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315682966871) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2896173954 + ... + 2896174062.

It is an arithmetic number, because the mean of its divisors is an integer number (1131900000).

Almost surely, 2^315682966872 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 315682966872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579532800000).

315682966872 is an abundant number, since it is smaller than the sum of its proper divisors (843382633128).

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

315682966872 is a wasteful number, since it uses less digits than its factorization.

315682966872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 315682966872 in words is "three hundred fifteen billion, six hundred eighty-two million, nine hundred sixty-six thousand, eight hundred seventy-two".