18806900112 has 1200 divisors, whose sum is σ = 79023067200. Its totient is φ = 4232632320.

The previous prime is 18806900111. The next prime is 18806900129. The reversal of 18806900112 is 21100960881.

It is a super-2 number, since 2×18806900112² (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 not an unprimeable number, because it can be changed into a prime (18806900111) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 172540314 + ... + 172540422.

It is an arithmetic number, because the mean of its divisors is an integer number (65852556).

Almost surely, 2^18806900112 is an apocalyptic number.

18806900112 is a gapful number since it is divisible by the number (12) 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 18806900112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39511533600).

18806900112 is an abundant number, since it is smaller than the sum of its proper divisors (60216167088).

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

18806900112 is a wasteful number, since it uses less digits than its factorization.

18806900112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 18806900112 in words is "eighteen billion, eight hundred six million, nine hundred thousand, one hundred twelve".