198189744480 has 576 divisors, whose sum is σ = 861116780160. Its totient is φ = 40373157888.

The previous prime is 198189744461. The next prime is 198189744481. The reversal of 198189744480 is 84447981891.

198189744480 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 89 + 74 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198189744481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3774084 + ... + 3826236.

It is an arithmetic number, because the mean of its divisors is an integer number (1494994410).

Almost surely, 2^198189744480 is an apocalyptic number.

198189744480 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 198189744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430558390080).

198189744480 is an abundant number, since it is smaller than the sum of its proper divisors (662927035680).

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

198189744480 is a wasteful number, since it uses less digits than its factorization.

198189744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52223 (or 52212 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 198189744480 in words is "one hundred ninety-eight billion, one hundred eighty-nine million, seven hundred forty-four thousand, four hundred eighty".