456506704768 has 64 divisors (see below), whose sum is σ = 959725976400. Its totient is φ = 215694876672.

The previous prime is 456506704733. The next prime is 456506704799. The reversal of 456506704768 is 867407605654.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729096 + ... + 1201912.

Almost surely, 2^456506704768 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 456506704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479862988200).

456506704768 is an abundant number, since it is smaller than the sum of its proper divisors (503219271632).

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

456506704768 is a wasteful number, since it uses less digits than its factorization.

456506704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473247 (or 473235 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 58.

The spelling of 456506704768 in words is "four hundred fifty-six billion, five hundred six million, seven hundred four thousand, seven hundred sixty-eight".