198194568000 has 1792 divisors, whose sum is σ = 843553751040. Its totient is φ = 40255488000.

The previous prime is 198194567999. The next prime is 198194568031. The reversal of 198194568000 is 865491891.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2508791961 + ... + 2508792039.

It is an arithmetic number, because the mean of its divisors is an integer number (470733120).

Almost surely, 2^198194568000 is an apocalyptic number.

198194568000 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 198194568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421776875520).

198194568000 is an abundant number, since it is smaller than the sum of its proper divisors (645359183040).

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

198194568000 is a wasteful number, since it uses less digits than its factorization.

198194568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 198194568000 in words is "one hundred ninety-eight billion, one hundred ninety-four million, five hundred sixty-eight thousand".