456406431888 has 160 divisors (see below), whose sum is σ = 1354553303040. Its totient is φ = 130965742080.

The previous prime is 456406431857. The next prime is 456406431911. The reversal of 456406431888 is 888134604654.

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

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, 24840081 + ... + 24858447.

It is an arithmetic number, because the mean of its divisors is an integer number (8465958144).

Almost surely, 2^456406431888 is an apocalyptic number.

456406431888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456406431888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677276651520).

456406431888 is an abundant number, since it is smaller than the sum of its proper divisors (898146871152).

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

456406431888 is a wasteful number, since it uses less digits than its factorization.

456406431888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20885 (or 20879 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 456406431888 in words is "four hundred fifty-six billion, four hundred six million, four hundred thirty-one thousand, eight hundred eighty-eight".