311668418304 has 72 divisors (see below), whose sum is σ = 921658363920. Its totient is φ = 103889470464.

The previous prime is 311668418287. The next prime is 311668418311. The reversal of 311668418304 is 403814866113.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 311668418304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22538547 + ... + 22552370.

It is an arithmetic number, because the mean of its divisors is an integer number (12800810610).

Almost surely, 2^311668418304 is an apocalyptic number.

It is an amenable number.

311668418304 is an abundant number, since it is smaller than the sum of its proper divisors (609989945616).

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

311668418304 is an equidigital number, since it uses as much as digits as its factorization.

311668418304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45090942 (or 45090922 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 311668418304 in words is "three hundred eleven billion, six hundred sixty-eight million, four hundred eighteen thousand, three hundred four".