456743201297 has 2 divisors, whose sum is σ = 456743201298. Its totient is φ = 456743201296.

The previous prime is 456743201267. The next prime is 456743201323. The reversal of 456743201297 is 792102347654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 448064229376 + 8678971921 = 669376^2 + 93161^2 .

It is a cyclic number.

It is not a de Polignac number, because 456743201297 - 2⁸ = 456743201041 is a prime.

It is a super-2 number, since 2×456743201297² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (456743201237) 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 as a sum of consecutive naturals, namely, 228371600648 + 228371600649.

It is an arithmetic number, because the mean of its divisors is an integer number (228371600649).

Almost surely, 2^456743201297 is an apocalyptic number.

It is an amenable number.

456743201297 is a deficient number, since it is larger than the sum of its proper divisors (1).

456743201297 is an equidigital number, since it uses as much as digits as its factorization.

456743201297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 456743201297 in words is "four hundred fifty-six billion, seven hundred forty-three million, two hundred one thousand, two hundred ninety-seven".