312114474568961 has 2 divisors, whose sum is σ = 312114474568962. Its totient is φ = 312114474568960.

The previous prime is 312114474568957. The next prime is 312114474568973. The reversal of 312114474568961 is 169865474411213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226659980463361 + 85454494105600 = 15055231^2 + 9244160^2 .

It is a cyclic number.

It is not a de Polignac number, because 312114474568961 - 2² = 312114474568957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312114474568894 and 312114474568903.

It is not a weakly prime, because it can be changed into another prime (312114474568261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156057237284480 + 156057237284481.

It is an arithmetic number, because the mean of its divisors is an integer number (156057237284481).

Almost surely, 2^{312114474568961} is an apocalyptic number.

It is an amenable number.

312114474568961 is a deficient number, since it is larger than the sum of its proper divisors (1).

312114474568961 is an equidigital number, since it uses as much as digits as its factorization.

312114474568961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34836480, while the sum is 62.

The spelling of 312114474568961 in words is "three hundred twelve trillion, one hundred fourteen billion, four hundred seventy-four million, five hundred sixty-eight thousand, nine hundred sixty-one".