311956378272 has 576 divisors, whose sum is σ = 1155667129344. Its totient is φ = 80415037440.

The previous prime is 311956378241. The next prime is 311956378309. The reversal of 311956378272 is 272873659113.

311956378272 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 563 + 7 + 8 + 2 + 72 = 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 95 ways as a sum of consecutive naturals, for example, 82027123 + ... + 82030925.

It is an arithmetic number, because the mean of its divisors is an integer number (2006366544).

Almost surely, 2^311956378272 is an apocalyptic number.

311956378272 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 311956378272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577833564672).

311956378272 is an abundant number, since it is smaller than the sum of its proper divisors (843710751072).

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

311956378272 is a wasteful number, since it uses less digits than its factorization.

311956378272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3963 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 311956378272 in words is "three hundred eleven billion, nine hundred fifty-six million, three hundred seventy-eight thousand, two hundred seventy-two".