311638116940820 has 48 divisors (see below), whose sum is σ = 693507642912000. Its totient is φ = 117301864129920.

The previous prime is 311638116940753. The next prime is 311638116940823. The reversal of 311638116940820 is 28049611836113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311638116940823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2751957836 + ... + 2752071075.

It is an arithmetic number, because the mean of its divisors is an integer number (14448075894000).

Almost surely, 2^{311638116940820} is an apocalyptic number.

It is an amenable number.

311638116940820 is an abundant number, since it is smaller than the sum of its proper divisors (381869525971180).

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

311638116940820 is a wasteful number, since it uses less digits than its factorization.

311638116940820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504029088 (or 5504029086 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 311638116940820 in words is "three hundred eleven trillion, six hundred thirty-eight billion, one hundred sixteen million, nine hundred forty thousand, eight hundred twenty".