311657116721563 has 16 divisors (see below), whose sum is σ = 322234900020000. Its totient is φ = 301192815578112.

The previous prime is 311657116721537. The next prime is 311657116721581. The reversal of 311657116721563 is 365127611756113.

It is a de Polignac number, because none of the positive numbers 2^k-311657116721563 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311657116721593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289330443 + ... + 290405611.

It is an arithmetic number, because the mean of its divisors is an integer number (20139681251250).

Almost surely, 2^{311657116721563} is an apocalyptic number.

311657116721563 is a deficient number, since it is larger than the sum of its proper divisors (10577783298437).

311657116721563 is a wasteful number, since it uses less digits than its factorization.

311657116721563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127934.

The product of its digits is 4762800, while the sum is 55.

The spelling of 311657116721563 in words is "three hundred eleven trillion, six hundred fifty-seven billion, one hundred sixteen million, seven hundred twenty-one thousand, five hundred sixty-three".