311945752944804 has 72 divisors (see below), whose sum is σ = 800121950968480. Its totient is φ = 94521603939840.

The previous prime is 311945752944803. The next prime is 311945752944829. The reversal of 311945752944804 is 408449257549113.

It is a happy number.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (311945752944803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10115412 + ... + 26948340.

Almost surely, 2^{311945752944804} is an apocalyptic number.

It is an amenable number.

311945752944804 is an abundant number, since it is smaller than the sum of its proper divisors (488176198023676).

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

311945752944804 is a wasteful number, since it uses less digits than its factorization.

311945752944804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16845721 (or 16845708 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 66.

The spelling of 311945752944804 in words is "three hundred eleven trillion, nine hundred forty-five billion, seven hundred fifty-two million, nine hundred forty-four thousand, eight hundred four".