456382808064 has 408 divisors, whose sum is σ = 1368154749312. Its totient is φ = 146512281600.

The previous prime is 456382808053. The next prime is 456382808081. The reversal of 456382808064 is 460808283654.

456382808064 is a `hidden beast` number, since 4 + 56 + 382 + 80 + 80 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 456382808064.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799894447 + ... + 2799894609.

It is an arithmetic number, because the mean of its divisors is an integer number (3353320464).

Almost surely, 2^456382808064 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 456382808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684077374656).

456382808064 is an abundant number, since it is smaller than the sum of its proper divisors (911771941248).

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

456382808064 is a wasteful number, since it uses less digits than its factorization.

456382808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 456382808064 in words is "four hundred fifty-six billion, three hundred eighty-two million, eight hundred eight thousand, sixty-four".