189982656900 has 405 divisors, whose sum is σ = 641659297279. Its totient is φ = 48622170240.

The previous prime is 189982656887. The next prime is 189982656901. The reversal of 189982656900 is 9656289981.

The square root of 189982656900 is 435870.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2611414404 + 187371242496 = 51102^2 + 432864^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×189982656900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189982656901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1137620617 + ... + 1137620783.

Almost surely, 2^189982656900 is an apocalyptic number.

189982656900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

189982656900 is the 435870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189982656900

189982656900 is an abundant number, since it is smaller than the sum of its proper divisors (451676640379).

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

189982656900 is a wasteful number, since it uses less digits than its factorization.

189982656900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 189982656900 in words is "one hundred eighty-nine billion, nine hundred eighty-two million, six hundred fifty-six thousand, nine hundred".