18082180900 has 243 divisors, whose sum is σ = 48920396889. Its totient is φ = 5783285760.

The previous prime is 18082180873. The next prime is 18082180903. The reversal of 18082180900 is 908128081.

The square root of 18082180900 is 134470.

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

It can be written as a sum of positive squares in 13 ways, for example, as 16636356324 + 1445824576 = 128982^2 + 38024^2 .

It is a super-2 number, since 2×18082180900² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18082180900.

It is not an unprimeable number, because it can be changed into a prime (18082180903) 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, 160019244 + ... + 160019356.

Almost surely, 2^18082180900 is an apocalyptic number.

18082180900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18082180900 is the 134470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18082180900

18082180900 is an abundant number, since it is smaller than the sum of its proper divisors (30838215989).

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

18082180900 is a wasteful number, since it uses less digits than its factorization.

18082180900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

Multiplying 18082180900 by its product of nonzero digits (9216), we get a square (166645379174400 = 12909120²).

The spelling of 18082180900 in words is "eighteen billion, eighty-two million, one hundred eighty thousand, nine hundred".