456256131072 has 416 divisors, whose sum is σ = 1442127642624. Its totient is φ = 125544038400.

The previous prime is 456256131059. The next prime is 456256131083. The reversal of 456256131072 is 270131652654.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1058598697 + ... + 1058599127.

Almost surely, 2^456256131072 is an apocalyptic number.

456256131072 is a gapful number since it is divisible by the number (42) 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 456256131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721063821312).

456256131072 is an abundant number, since it is smaller than the sum of its proper divisors (985871511552).

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

456256131072 is a wasteful number, since it uses less digits than its factorization.

456256131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 456256131072 in words is "four hundred fifty-six billion, two hundred fifty-six million, one hundred thirty-one thousand, seventy-two".