456120086085 has 24 divisors (see below), whose sum is σ = 790671204960. Its totient is φ = 243244644192.

The previous prime is 456120086069. The next prime is 456120086089. The reversal of 456120086085 is 580680021654.

456120086085 is a `hidden beast` number, since 4 + 561 + 2 + 0 + 0 + 8 + 6 + 0 + 85 = 666.

It is not a de Polignac number, because 456120086085 - 2⁴ = 456120086069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456120086085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456120086089) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 175422 + ... + 971088.

It is an arithmetic number, because the mean of its divisors is an integer number (32944633540).

Almost surely, 2^456120086085 is an apocalyptic number.

456120086085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456120086085 is a deficient number, since it is larger than the sum of its proper divisors (334551118875).

456120086085 is a wasteful number, since it uses less digits than its factorization.

456120086085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808417 (or 808414 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 456120086085 in words is "four hundred fifty-six billion, one hundred twenty million, eighty-six thousand, eighty-five".