198975909132 has 768 divisors, whose sum is σ = 739947479040. Its totient is φ = 44547148800.

The previous prime is 198975909113. The next prime is 198975909133. The reversal of 198975909132 is 231909579891.

198975909132 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 7 + 590 + 9 + 1 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 198975909132.

It is not an unprimeable number, because it can be changed into a prime (198975909133) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 106917882 + ... + 106919742.

It is an arithmetic number, because the mean of its divisors is an integer number (963473280).

Almost surely, 2^198975909132 is an apocalyptic number.

198975909132 is a gapful number since it is divisible by the number (12) 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 198975909132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369973739520).

198975909132 is an abundant number, since it is smaller than the sum of its proper divisors (540971569908).

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

198975909132 is a wasteful number, since it uses less digits than its factorization.

198975909132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 198975909132 in words is "one hundred ninety-eight billion, nine hundred seventy-five million, nine hundred nine thousand, one hundred thirty-two".