311246974920 has 192 divisors, whose sum is σ = 1087544404800. Its totient is φ = 71053355520.

The previous prime is 311246974901. The next prime is 311246974937. The reversal of 311246974920 is 29479642113.

It is a super-2 number, since 2×311246974920² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311246974920.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4736046 + ... + 4801314.

It is an arithmetic number, because the mean of its divisors is an integer number (5664293775).

Almost surely, 2^311246974920 is an apocalyptic number.

311246974920 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 311246974920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543772202400).

311246974920 is an abundant number, since it is smaller than the sum of its proper divisors (776297429880).

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

311246974920 is a wasteful number, since it uses less digits than its factorization.

311246974920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66108 (or 66097 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 311246974920 in words is "three hundred eleven billion, two hundred forty-six million, nine hundred seventy-four thousand, nine hundred twenty".