311516779824 has 160 divisors (see below), whose sum is σ = 916681328640. Its totient is φ = 101241427968.

The previous prime is 311516779781. The next prime is 311516779909. The reversal of 311516779824 is 428977615113.

311516779824 is a `hidden beast` number, since 3 + 11 + 516 + 7 + 7 + 98 + 24 = 666.

It is a super-2 number, since 2×311516779824² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5310784 + ... + 5369120.

It is an arithmetic number, because the mean of its divisors is an integer number (5729258304).

Almost surely, 2^311516779824 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 311516779824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458340664320).

311516779824 is an abundant number, since it is smaller than the sum of its proper divisors (605164548816).

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

311516779824 is a wasteful number, since it uses less digits than its factorization.

311516779824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58664 (or 58652 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 311516779824 in words is "three hundred eleven billion, five hundred sixteen million, seven hundred seventy-nine thousand, eight hundred twenty-four".