456353564640 has 96 divisors (see below), whose sum is σ = 1440788912640. Its totient is φ = 121417019904.

The previous prime is 456353564621. The next prime is 456353564651. The reversal of 456353564640 is 46465353654.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 872124 + ... + 1293563.

It is an arithmetic number, because the mean of its divisors is an integer number (15008217840).

Almost surely, 2^456353564640 is an apocalyptic number.

456353564640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456353564640 is an abundant number, since it is smaller than the sum of its proper divisors (984435348000).

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

456353564640 is a wasteful number, since it uses less digits than its factorization.

456353564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166144 (or 2166136 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 51.

The spelling of 456353564640 in words is "four hundred fifty-six billion, three hundred fifty-three million, five hundred sixty-four thousand, six hundred forty".