18460675396800 has 2016 divisors, whose sum is σ = 84064089887232. Its totient is φ = 3880226488320.

The previous prime is 18460675396789. The next prime is 18460675396817. The reversal of 18460675396800 is 869357606481.

18460675396800 is a `hidden beast` number, since 1 + 8 + 460 + 6 + 7 + 5 + 3 + 96 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×18460675396800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 11074189567 + ... + 11074191233.

Almost surely, 2^{18460675396800} is an apocalyptic number.

18460675396800 is a gapful number since it is divisible by the number (10) 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 18460675396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42032044943616).

18460675396800 is an abundant number, since it is smaller than the sum of its proper divisors (65603414490432).

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

18460675396800 is a wasteful number, since it uses less digits than its factorization.

18460675396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 18460675396800 in words is "eighteen trillion, four hundred sixty billion, six hundred seventy-five million, three hundred ninety-six thousand, eight hundred".