456074846136 has 640 divisors, whose sum is σ = 1611075312000. Its totient is φ = 117349171200.

The previous prime is 456074846131. The next prime is 456074846207. The reversal of 456074846136 is 631648470654.

456074846136 is a `hidden beast` number, since 4 + 560 + 7 + 4 + 8 + 46 + 1 + 36 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456074846131) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 434770540 + ... + 434771588.

It is an arithmetic number, because the mean of its divisors is an integer number (2517305175).

Almost surely, 2^456074846136 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 456074846136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805537656000).

456074846136 is an abundant number, since it is smaller than the sum of its proper divisors (1155000465864).

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

456074846136 is a wasteful number, since it uses less digits than its factorization.

456074846136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 456074846136 in words is "four hundred fifty-six billion, seventy-four million, eight hundred forty-six thousand, one hundred thirty-six".