456033560053200 has 120 divisors (see below), whose sum is σ = 1471337054964000. Its totient is φ = 120734064775680.

The previous prime is 456033560053151. The next prime is 456033560053223. The reversal of 456033560053200 is 2350065330654.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366840275 + ... + 1367173874.

It is an arithmetic number, because the mean of its divisors is an integer number (12261142124700).

Almost surely, 2^{456033560053200} is an apocalyptic number.

456033560053200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456033560053200 is an abundant number, since it is smaller than the sum of its proper divisors (1015303494910800).

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

456033560053200 is a wasteful number, since it uses less digits than its factorization.

456033560053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734014309 (or 2734014298 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 42.

The spelling of 456033560053200 in words is "four hundred fifty-six trillion, thirty-three billion, five hundred sixty million, fifty-three thousand, two hundred".