198189274400 has 216 divisors, whose sum is σ = 540821885184. Its totient is φ = 70815513600.

The previous prime is 198189274321. The next prime is 198189274403. The reversal of 198189274400 is 4472981891.

It is not an unprimeable number, because it can be changed into a prime (198189274403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4167557 + ... + 4214843.

It is an arithmetic number, because the mean of its divisors is an integer number (2503805024).

Almost surely, 2^198189274400 is an apocalyptic number.

198189274400 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 198189274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270410942592).

198189274400 is an abundant number, since it is smaller than the sum of its proper divisors (342632610784).

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

198189274400 is a wasteful number, since it uses less digits than its factorization.

198189274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47364 (or 47338 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 198189274400 in words is "one hundred ninety-eight billion, one hundred eighty-nine million, two hundred seventy-four thousand, four hundred".