456964480008 has 48 divisors (see below), whose sum is σ = 1242790473600. Its totient is φ = 151684159200.

The previous prime is 456964480001. The next prime is 456964480057. The reversal of 456964480008 is 800084469654.

456964480008 is a `hidden beast` number, since 45 + 69 + 64 + 480 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (456964480001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13260468 + ... + 13294883.

It is an arithmetic number, because the mean of its divisors is an integer number (25891468200).

Almost surely, 2^456964480008 is an apocalyptic number.

It is an amenable number.

456964480008 is an abundant number, since it is smaller than the sum of its proper divisors (785825993592).

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

456964480008 is a wasteful number, since it uses less digits than its factorization.

456964480008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26555602 (or 26555595 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 456964480008 in words is "four hundred fifty-six billion, nine hundred sixty-four million, four hundred eighty thousand, eight".