198317922880 has 224 divisors, whose sum is σ = 589635551232. Its totient is φ = 61722777600.

The previous prime is 198317922871. The next prime is 198317922883. The reversal of 198317922880 is 88229713891.

198317922880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (198317922883) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17907745 + ... + 17918815.

It is an arithmetic number, because the mean of its divisors is an integer number (2632301568).

Almost surely, 2^198317922880 is an apocalyptic number.

198317922880 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 198317922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294817775616).

198317922880 is an abundant number, since it is smaller than the sum of its proper divisors (391317628352).

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

198317922880 is a wasteful number, since it uses less digits than its factorization.

198317922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11833 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 58.

The spelling of 198317922880 in words is "one hundred ninety-eight billion, three hundred seventeen million, nine hundred twenty-two thousand, eight hundred eighty".