456823115164725 has 96 divisors (see below), whose sum is σ = 800553923650560. Its totient is φ = 229213877760000.

The previous prime is 456823115164711. The next prime is 456823115164747. The reversal of 456823115164725 is 527461511328654.

It is not a de Polignac number, because 456823115164725 - 2⁴ = 456823115164709 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 674665590 + ... + 675342360.

It is an arithmetic number, because the mean of its divisors is an integer number (8339103371360).

Almost surely, 2^{456823115164725} is an apocalyptic number.

It is an amenable number.

456823115164725 is a deficient number, since it is larger than the sum of its proper divisors (343730808485835).

456823115164725 is a wasteful number, since it uses less digits than its factorization.

456823115164725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680091 (or 680086 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 60.

The spelling of 456823115164725 in words is "four hundred fifty-six trillion, eight hundred twenty-three billion, one hundred fifteen million, one hundred sixty-four thousand, seven hundred twenty-five".