18363984100 has 288 divisors, whose sum is σ = 50876743680. Its totient is φ = 5588352000.

The previous prime is 18363984097. The next prime is 18363984113. The reversal of 18363984100 is 148936381.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87032995 + ... + 87033205.

It is an arithmetic number, because the mean of its divisors is an integer number (176655360).

Almost surely, 2^18363984100 is an apocalyptic number.

18363984100 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 18363984100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25438371840).

18363984100 is an abundant number, since it is smaller than the sum of its proper divisors (32512759580).

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

18363984100 is a wasteful number, since it uses less digits than its factorization.

18363984100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 18363984100 in words is "eighteen billion, three hundred sixty-three million, nine hundred eighty-four thousand, one hundred".