198807449400 has 288 divisors, whose sum is σ = 766668489600. Its totient is φ = 45225734400.

The previous prime is 198807449389. The next prime is 198807449413. The reversal of 198807449400 is 4944708891.

198807449400 is a `hidden beast` number, since 1 + 9 + 8 + 80 + 74 + 494 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2621211 + ... + 2695989.

Almost surely, 2^198807449400 is an apocalyptic number.

198807449400 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 198807449400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383334244800).

198807449400 is an abundant number, since it is smaller than the sum of its proper divisors (567861040200).

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

198807449400 is a wasteful number, since it uses less digits than its factorization.

198807449400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75019 (or 75007 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 198807449400 in words is "one hundred ninety-eight billion, eight hundred seven million, four hundred forty-nine thousand, four hundred".