456838794112 has 64 divisors (see below), whose sum is σ = 915968710800. Its totient is φ = 226951593984.

The previous prime is 456838794059. The next prime is 456838794161. The reversal of 456838794112 is 211497838654.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20468463 + ... + 20490769.

Almost surely, 2^456838794112 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 456838794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457984355400).

456838794112 is an abundant number, since it is smaller than the sum of its proper divisors (459129916688).

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

456838794112 is a wasteful number, since it uses less digits than its factorization.

456838794112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23343 (or 23331 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 456838794112 in words is "four hundred fifty-six billion, eight hundred thirty-eight million, seven hundred ninety-four thousand, one hundred twelve".