311641406314104 has 128 divisors (see below), whose sum is σ = 803061360691200. Its totient is φ = 100706495339520.

The previous prime is 311641406314061. The next prime is 311641406314181. The reversal of 311641406314104 is 401413604146113.

It is a super-2 number, since 2×311641406314104² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4912426017 + ... + 4912489455.

It is an arithmetic number, because the mean of its divisors is an integer number (6273916880400).

Almost surely, 2^{311641406314104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311641406314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401530680345600).

311641406314104 is an abundant number, since it is smaller than the sum of its proper divisors (491419954377096).

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

311641406314104 is a wasteful number, since it uses less digits than its factorization.

311641406314104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83453 (or 83449 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 311641406314104 in words is "three hundred eleven trillion, six hundred forty-one billion, four hundred six million, three hundred fourteen thousand, one hundred four".