312114474568957 has 2 divisors, whose sum is σ = 312114474568958. Its totient is φ = 312114474568956.

The previous prime is 312114474568933. The next prime is 312114474568961. The reversal of 312114474568957 is 759865474411213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302421177648121 + 9693296920836 = 17390261^2 + 3113406^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312114474568957 is a prime.

It is a super-2 number, since 2×312114474568957² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312114474568892 and 312114474568901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312114474568657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156057237284478 + 156057237284479.

It is an arithmetic number, because the mean of its divisors is an integer number (156057237284479).

Almost surely, 2^{312114474568957} is an apocalyptic number.

It is an amenable number.

312114474568957 is a deficient number, since it is larger than the sum of its proper divisors (1).

312114474568957 is an equidigital number, since it uses as much as digits as its factorization.

312114474568957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 203212800, while the sum is 67.

The spelling of 312114474568957 in words is "three hundred twelve trillion, one hundred fourteen billion, four hundred seventy-four million, five hundred sixty-eight thousand, nine hundred fifty-seven".