18413164800 has 162 divisors, whose sum is σ = 65831425842. Its totient is φ = 4910161920.

The previous prime is 18413164799. The next prime is 18413164813. The reversal of 18413164800 is 846131481.

It is a happy number.

18413164800 is a `hidden beast` number, since 1 + 8 + 4 + 1 + 3 + 1 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5053503744 + 13359661056 = 71088^2 + 115584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102237 + ... + 217436.

Almost surely, 2^18413164800 is an apocalyptic number.

18413164800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18413164800 is an abundant number, since it is smaller than the sum of its proper divisors (47418261042).

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

18413164800 is a wasteful number, since it uses less digits than its factorization.

18413164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319705 (or 319683 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18413164800 in words is "eighteen billion, four hundred thirteen million, one hundred sixty-four thousand, eight hundred".