456860154432 has 224 divisors, whose sum is σ = 1345440844800. Its totient is φ = 135646873600.

The previous prime is 456860154409. The next prime is 456860154479. The reversal of 456860154432 is 234451068654.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38747194 + ... + 38758982.

Almost surely, 2^456860154432 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 456860154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672720422400).

456860154432 is an abundant number, since it is smaller than the sum of its proper divisors (888580690368).

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

456860154432 is a wasteful number, since it uses less digits than its factorization.

456860154432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185 (or 12175 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 456860154432 in words is "four hundred fifty-six billion, eight hundred sixty million, one hundred fifty-four thousand, four hundred thirty-two".