189285904900 has 81 divisors (see below), whose sum is σ = 415052745471. Its totient is φ = 74929495680.

The previous prime is 189285904883. The next prime is 189285904937. The reversal of 189285904900 is 9409582981.

The square root of 189285904900 is 435070.

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 106337296836 + 82948608064 = 326094^2 + 288008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 604747144 + ... + 604747456.

Almost surely, 2^189285904900 is an apocalyptic number.

189285904900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

189285904900 is the 435070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189285904900

189285904900 is an abundant number, since it is smaller than the sum of its proper divisors (225766840571).

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

189285904900 is an equidigital number, since it uses as much as digits as its factorization.

189285904900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 55.

The spelling of 189285904900 in words is "one hundred eighty-nine billion, two hundred eighty-five million, nine hundred four thousand, nine hundred".