198316579200 has 192 divisors, whose sum is σ = 654470760000. Its totient is φ = 52781967360.

The previous prime is 198316579189. The next prime is 198316579213. The reversal of 198316579200 is 2975613891.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5001051 + ... + 5040549.

It is an arithmetic number, because the mean of its divisors is an integer number (3408701875).

Almost surely, 2^198316579200 is an apocalyptic number.

198316579200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198316579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327235380000).

198316579200 is an abundant number, since it is smaller than the sum of its proper divisors (456154180800).

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

198316579200 is a wasteful number, since it uses less digits than its factorization.

198316579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40049 (or 40032 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 198316579200 in words is "one hundred ninety-eight billion, three hundred sixteen million, five hundred seventy-nine thousand, two hundred".