198873186304 has 171 divisors, whose sum is σ = 437219182197. Its totient is φ = 90417659904.

The previous prime is 198873186299. The next prime is 198873186329. The reversal of 198873186304 is 403681378891.

The square root of 198873186304 is 445952.

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., 29419110400 + 169454075904 = 171520^2 + 411648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2968256479 + ... + 2968256545.

Almost surely, 2^198873186304 is an apocalyptic number.

198873186304 is the 445952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198873186304

198873186304 is an abundant number, since it is smaller than the sum of its proper divisors (238345995893).

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

198873186304 is an frugal number, since it uses more digits than its factorization.

198873186304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 198873186304 in words is "one hundred ninety-eight billion, eight hundred seventy-three million, one hundred eighty-six thousand, three hundred four".