316147560960 has 1440 divisors, whose sum is σ = 1326725459136. Its totient is φ = 63961497600.

The previous prime is 316147560943. The next prime is 316147561027. The reversal of 316147560960 is 69065741613.

It is a super-2 number, since 2×316147560960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2413340095 + ... + 2413340225.

Almost surely, 2^316147560960 is an apocalyptic number.

316147560960 is a gapful number since it is divisible by the number (30) 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 316147560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663362729568).

316147560960 is an abundant number, since it is smaller than the sum of its proper divisors (1010577898176).

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

316147560960 is a wasteful number, since it uses less digits than its factorization.

316147560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 316147560960 in words is "three hundred sixteen billion, one hundred forty-seven million, five hundred sixty thousand, nine hundred sixty".