18233100900 has 243 divisors, whose sum is σ = 66584912121. Its totient is φ = 4161084480.

The previous prime is 18233100871. The next prime is 18233100901. The reversal of 18233100900 is 900133281.

The square root of 18233100900 is 135030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6563916324 + 11669184576 = 81018^2 + 108024^2 .

It is not an unprimeable number, because it can be changed into a prime (18233100901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28355979 + ... + 28356621.

Almost surely, 2^18233100900 is an apocalyptic number.

18233100900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18233100900 is the 135030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18233100900

18233100900 is an abundant number, since it is smaller than the sum of its proper divisors (48351811221).

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

18233100900 is a wasteful number, since it uses less digits than its factorization.

18233100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 18233100900 by its product of nonzero digits (1296), we get a square (23630098766400 = 4861080²).

The spelling of 18233100900 in words is "eighteen billion, two hundred thirty-three million, one hundred thousand, nine hundred".