198009936000 has 384 divisors, whose sum is σ = 716365082160. Its totient is φ = 52412006400.

The previous prime is 198009935939. The next prime is 198009936013. The reversal of 198009936000 is 639900891.

It can be written as a sum of positive squares in 8 ways, for example, as 3825175104 + 194184760896 = 61848^2 + 440664^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 19722982 + ... + 19733018.

Almost surely, 2^198009936000 is an apocalyptic number.

198009936000 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 198009936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358182541080).

198009936000 is an abundant number, since it is smaller than the sum of its proper divisors (518355146160).

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

198009936000 is a wasteful number, since it uses less digits than its factorization.

198009936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 198009936000 in words is "one hundred ninety-eight billion, nine million, nine hundred thirty-six thousand".