311411531664 has 80 divisors (see below), whose sum is σ = 946446834240. Its totient is φ = 97697733120.

The previous prime is 311411531663. The next prime is 311411531677. The reversal of 311411531664 is 466135114113.

311411531664 is a `hidden beast` number, since 3 + 114 + 1 + 1 + 531 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (311411531663) 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, 21194422 + ... + 21209109.

It is an arithmetic number, because the mean of its divisors is an integer number (11830585428).

Almost surely, 2^311411531664 is an apocalyptic number.

311411531664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

311411531664 is an abundant number, since it is smaller than the sum of its proper divisors (635035302576).

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

311411531664 is a wasteful number, since it uses less digits than its factorization.

311411531664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42403565 (or 42403553 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Adding to 311411531664 its reverse (466135114113), we get a palindrome (777546645777).

The spelling of 311411531664 in words is "three hundred eleven billion, four hundred eleven million, five hundred thirty-one thousand, six hundred sixty-four".