456661734375 has 224 divisors, whose sum is σ = 998987212800. Its totient is φ = 179766000000.

The previous prime is 456661734349. The next prime is 456661734427. The reversal of 456661734375 is 573437166654.

It is not a de Polignac number, because 456661734375 - 2²³ = 456653345767 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 68574796 + ... + 68581454.

Almost surely, 2^456661734375 is an apocalyptic number.

456661734375 is an abundant number, since it is smaller than the sum of its proper divisors (542325478425).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456661734375 is an equidigital number, since it uses as much as digits as its factorization.

456661734375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6704 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 57.

The spelling of 456661734375 in words is "four hundred fifty-six billion, six hundred sixty-one million, seven hundred thirty-four thousand, three hundred seventy-five".