312112323010457 has 2 divisors, whose sum is σ = 312112323010458. Its totient is φ = 312112323010456.

The previous prime is 312112323010349. The next prime is 312112323010483. The reversal of 312112323010457 is 754010323211213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254632104182416 + 57480218828041 = 15957196^2 + 7581571^2 .

It is a cyclic number.

It is not a de Polignac number, because 312112323010457 - 2²² = 312112318816153 is a prime.

It is a super-2 number, since 2×312112323010457² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312112323090457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056161505228 + 156056161505229.

It is an arithmetic number, because the mean of its divisors is an integer number (156056161505229).

Almost surely, 2^{312112323010457} is an apocalyptic number.

It is an amenable number.

312112323010457 is a deficient number, since it is larger than the sum of its proper divisors (1).

312112323010457 is an equidigital number, since it uses as much as digits as its factorization.

312112323010457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 312112323010457 in words is "three hundred twelve trillion, one hundred twelve billion, three hundred twenty-three million, ten thousand, four hundred fifty-seven".