316946806272 has 240 divisors, whose sum is σ = 926461961568. Its totient is φ = 104303001600.

The previous prime is 316946806261. The next prime is 316946806273. The reversal of 316946806272 is 272608649613.

316946806272 is a `hidden beast` number, since 3 + 1 + 6 + 9 + 4 + 6 + 8 + 0 + 627 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316946806273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120373468 + ... + 120376100.

Almost surely, 2^316946806272 is an apocalyptic number.

316946806272 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 316946806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463230980784).

316946806272 is an abundant number, since it is smaller than the sum of its proper divisors (609515155296).

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

316946806272 is a wasteful number, since it uses less digits than its factorization.

316946806272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 316946806272 in words is "three hundred sixteen billion, nine hundred forty-six million, eight hundred six thousand, two hundred seventy-two".