456823115164731 has 16 divisors (see below), whose sum is σ = 707909912121600. Its totient is φ = 256617343142688.

The previous prime is 456823115164711. The next prime is 456823115164747. The reversal of 456823115164731 is 137461511328654.

It is a happy number.

It is not a de Polignac number, because 456823115164731 - 2¹⁸ = 456823114902587 is a prime.

It is a super-2 number, since 2×456823115164731² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456823115164711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184351538376 + ... + 184351540853.

It is an arithmetic number, because the mean of its divisors is an integer number (44244369507600).

Almost surely, 2^{456823115164731} is an apocalyptic number.

456823115164731 is a deficient number, since it is larger than the sum of its proper divisors (251086796956869).

456823115164731 is a wasteful number, since it uses less digits than its factorization.

456823115164731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368703079298.

The product of its digits is 14515200, while the sum is 57.

The spelling of 456823115164731 in words is "four hundred fifty-six trillion, eight hundred twenty-three billion, one hundred fifteen million, one hundred sixty-four thousand, seven hundred thirty-one".