198295944000 has 672 divisors, whose sum is σ = 830972338560. Its totient is φ = 41201664000.

The previous prime is 198295943953. The next prime is 198295944013. The reversal of 198295944000 is 449592891.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×198295944000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12928336 + ... + 12943664.

It is an arithmetic number, because the mean of its divisors is an integer number (1236565980).

Almost surely, 2^198295944000 is an apocalyptic number.

198295944000 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 198295944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415486169280).

198295944000 is an abundant number, since it is smaller than the sum of its proper divisors (632676394560).

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

198295944000 is a wasteful number, since it uses less digits than its factorization.

198295944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15384 (or 15357 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 198295944000 in words is "one hundred ninety-eight billion, two hundred ninety-five million, nine hundred forty-four thousand".