311949641907072 has 192 divisors, whose sum is σ = 990297455106960. Its totient is φ = 93643419525120.

The previous prime is 311949641907067. The next prime is 311949641907073. The reversal of 311949641907072 is 270709146949113.

311949641907072 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 496 + 4 + 1 + 9 + 0 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×311949641907072² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311949641907073) 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, 253410018 + ... + 254638049.

Almost surely, 2^{311949641907072} is an apocalyptic number.

311949641907072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311949641907072 is an abundant number, since it is smaller than the sum of its proper divisors (678347813199888).

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

311949641907072 is a wasteful number, since it uses less digits than its factorization.

311949641907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508048141 (or 508048126 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 311949641907072 in words is "three hundred eleven trillion, nine hundred forty-nine billion, six hundred forty-one million, nine hundred seven thousand, seventy-two".