456337924901113 has 2 divisors, whose sum is σ = 456337924901114. Its totient is φ = 456337924901112.

The previous prime is 456337924901081. The next prime is 456337924901143. The reversal of 456337924901113 is 311109429733654.

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., 394693238804544 + 61644686096569 = 19866888^2 + 7851413^2 .

It is a cyclic number.

It is not a de Polignac number, because 456337924901113 - 2⁵ = 456337924901081 is a prime.

It is not a weakly prime, because it can be changed into another prime (456337924901143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228168962450556 + 228168962450557.

It is an arithmetic number, because the mean of its divisors is an integer number (228168962450557).

Almost surely, 2^{456337924901113} is an apocalyptic number.

It is an amenable number.

456337924901113 is a deficient number, since it is larger than the sum of its proper divisors (1).

456337924901113 is an equidigital number, since it uses as much as digits as its factorization.

456337924901113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14696640, while the sum is 58.

The spelling of 456337924901113 in words is "four hundred fifty-six trillion, three hundred thirty-seven billion, nine hundred twenty-four million, nine hundred one thousand, one hundred thirteen".