456117974832 has 160 divisors (see below), whose sum is σ = 1277893209600. Its totient is φ = 140185613568.

The previous prime is 456117974827. The next prime is 456117974843. The reversal of 456117974832 is 238479711654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122643469 + ... + 122647187.

It is an arithmetic number, because the mean of its divisors is an integer number (7986832560).

Almost surely, 2^456117974832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456117974832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638946604800).

456117974832 is an abundant number, since it is smaller than the sum of its proper divisors (821775234768).

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

456117974832 is a wasteful number, since it uses less digits than its factorization.

456117974832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4900 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 456117974832 in words is "four hundred fifty-six billion, one hundred seventeen million, nine hundred seventy-four thousand, eight hundred thirty-two".