311825081688 has 64 divisors (see below), whose sum is σ = 826695797760. Its totient is φ = 97676192256.

The previous prime is 311825081651. The next prime is 311825081713. The reversal of 311825081688 is 886180528113.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 311825081688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326656 + ... + 854607.

It is an arithmetic number, because the mean of its divisors is an integer number (12917121840).

Almost surely, 2^311825081688 is an apocalyptic number.

It is an amenable number.

311825081688 is an abundant number, since it is smaller than the sum of its proper divisors (514870716072).

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

311825081688 is a wasteful number, since it uses less digits than its factorization.

311825081688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181936 (or 1181932 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 51.

The spelling of 311825081688 in words is "three hundred eleven billion, eight hundred twenty-five million, eighty-one thousand, six hundred eighty-eight".