198739411200 has 648 divisors, whose sum is σ = 820773154656. Its totient is φ = 45342720000.

The previous prime is 198739411193. The next prime is 198739411201. The reversal of 198739411200 is 2114937891.

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

It is not an unprimeable number, because it can be changed into a prime (198739411201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10761975 + ... + 10780425.

Almost surely, 2^198739411200 is an apocalyptic number.

198739411200 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 198739411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410386577328).

198739411200 is an abundant number, since it is smaller than the sum of its proper divisors (622033743456).

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

198739411200 is a wasteful number, since it uses less digits than its factorization.

198739411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18511 (or 18489 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 198739411200 in words is "one hundred ninety-eight billion, seven hundred thirty-nine million, four hundred eleven thousand, two hundred".