311656584961 has 16 divisors (see below), whose sum is σ = 322704240768. Its totient is φ = 300779395200.

The previous prime is 311656584949. The next prime is 311656584973. The reversal of 311656584961 is 169485656113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311656584949) and next prime (311656584973).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311656584961 is a prime.

It is a super-2 number, since 2×311656584961² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311656584061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3934630 + ... + 4013056.

It is an arithmetic number, because the mean of its divisors is an integer number (20169015048).

Almost surely, 2^311656584961 is an apocalyptic number.

It is an amenable number.

311656584961 is a deficient number, since it is larger than the sum of its proper divisors (11047655807).

311656584961 is a wasteful number, since it uses less digits than its factorization.

311656584961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79512.

The product of its digits is 4665600, while the sum is 55.

The spelling of 311656584961 in words is "three hundred eleven billion, six hundred fifty-six million, five hundred eighty-four thousand, nine hundred sixty-one".