198853564900 has 81 divisors (see below), whose sum is σ = 455612856489. Its totient is φ = 75322928160.

The previous prime is 198853564873. The next prime is 198853564951. The reversal of 198853564900 is 9465358891.

The square root of 198853564900 is 445930.

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., 71587283364 + 127266281536 = 267558^2 + 356744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84725527 + ... + 84727873.

Almost surely, 2^198853564900 is an apocalyptic number.

198853564900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198853564900 is the 445930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198853564900

198853564900 is an abundant number, since it is smaller than the sum of its proper divisors (256759291589).

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

198853564900 is an equidigital number, since it uses as much as digits as its factorization.

198853564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 198853564900 in words is "one hundred ninety-eight billion, eight hundred fifty-three million, five hundred sixty-four thousand, nine hundred".