456021715968 has 1232 divisors, whose sum is σ = 1729040308800. Its totient is φ = 119391584256.

The previous prime is 456021715943. The next prime is 456021715973. The reversal of 456021715968 is 869517120654.

It is a happy number.

456021715968 is a `hidden beast` number, since 4 + 5 + 602 + 17 + 15 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3328625596 + ... + 3328625732.

Almost surely, 2^456021715968 is an apocalyptic number.

456021715968 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 456021715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864520154400).

456021715968 is an abundant number, since it is smaller than the sum of its proper divisors (1273018592832).

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

456021715968 is an equidigital number, since it uses as much as digits as its factorization.

456021715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 456021715968 in words is "four hundred fifty-six billion, twenty-one million, seven hundred fifteen thousand, nine hundred sixty-eight".