456875448912 has 120 divisors (see below), whose sum is σ = 1315025083008. Its totient is φ = 147984960000.

The previous prime is 456875448907. The next prime is 456875448947. The reversal of 456875448912 is 219844578654.

It is a happy number.

456875448912 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 7 + 544 + 89 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 456875448912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1327753 + ... + 1636055.

Almost surely, 2^456875448912 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 456875448912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657512541504).

456875448912 is an abundant number, since it is smaller than the sum of its proper divisors (858149634096).

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

456875448912 is a wasteful number, since it uses less digits than its factorization.

456875448912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308609 (or 308600 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 456875448912 in words is "four hundred fifty-six billion, eight hundred seventy-five million, four hundred forty-eight thousand, nine hundred twelve".