18006956100 has 567 divisors, whose sum is σ = 69124267821. Its totient is φ = 4057905600.

The previous prime is 18006956083. The next prime is 18006956129. The reversal of 18006956100 is 165960081.

The square root of 18006956100 is 134190.

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., 6482504196 + 11524451904 = 80514^2 + 107352^2 .

It is a tau number, because it is divible by the number of its divisors (567).

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 188 ways as a sum of consecutive naturals, for example, 253619065 + ... + 253619135.

Almost surely, 2^18006956100 is an apocalyptic number.

18006956100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18006956100 is the 134190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18006956100

18006956100 is an abundant number, since it is smaller than the sum of its proper divisors (51117311721).

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

18006956100 is an equidigital number, since it uses as much as digits as its factorization.

18006956100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 18006956100 by its sum of digits (36), we get a square (648250419600 = 805140²).

18006956100 divided by its sum of digits (36) gives a square (500193225 = 22365²).

The spelling of 18006956100 in words is "eighteen billion, six million, nine hundred fifty-six thousand, one hundred".