198000000000 has 660 divisors, whose sum is σ = 779619060792. Its totient is φ = 48000000000.

The previous prime is 197999999933. The next prime is 198000000001. The reversal of 198000000000 is 891.

198000000000 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 (660).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 198000000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198000000001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17999999995 + ... + 18000000005.

Almost surely, 2^198000000000 is an apocalyptic number.

198000000000 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 198000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389809530396).

198000000000 is an abundant number, since it is smaller than the sum of its proper divisors (581619060792).

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

198000000000 is an frugal number, since it uses more digits than its factorization.

198000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 198000000000 its reverse (891), we get a palindrome (198000000891).

The spelling of 198000000000 in words is "one hundred ninety-eight billion", and thus it is an aban number.