456558588120 has 128 divisors (see below), whose sum is σ = 1405023459840. Its totient is φ = 118615157760.

The previous prime is 456558588113. The next prime is 456558588173. The reversal of 456558588120 is 21885855654.

It is a super-2 number, since 2×456558588120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3513019 + ... + 3640661.

It is an arithmetic number, because the mean of its divisors is an integer number (10976745780).

Almost surely, 2^456558588120 is an apocalyptic number.

456558588120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456558588120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702511729920).

456558588120 is an abundant number, since it is smaller than the sum of its proper divisors (948464871720).

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

456558588120 is a wasteful number, since it uses less digits than its factorization.

456558588120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128425 (or 128421 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 57.

The spelling of 456558588120 in words is "four hundred fifty-six billion, five hundred fifty-eight million, five hundred eighty-eight thousand, one hundred twenty".