18402445800 has 288 divisors, whose sum is σ = 64833350400. Its totient is φ = 4672304640.

The previous prime is 18402445757. The next prime is 18402445819. The reversal of 18402445800 is 854420481.

18402445800 is a `hidden beast` number, since 18 + 40 + 24 + 4 + 580 + 0 = 666.

It is a super-2 number, since 2×18402445800² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 3127261 + ... + 3133139.

It is an arithmetic number, because the mean of its divisors is an integer number (225115800).

Almost surely, 2^18402445800 is an apocalyptic number.

18402445800 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 18402445800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32416675200).

18402445800 is an abundant number, since it is smaller than the sum of its proper divisors (46430904600).

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

18402445800 is a wasteful number, since it uses less digits than its factorization.

18402445800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 18402445800 in words is "eighteen billion, four hundred two million, four hundred forty-five thousand, eight hundred".