198584125344 has 144 divisors (see below), whose sum is σ = 616353978240. Its totient is φ = 60148500480.

The previous prime is 198584125343. The next prime is 198584125357. The reversal of 198584125344 is 443521485891.

198584125344 is a `hidden beast` number, since 1 + 9 + 8 + 584 + 1 + 2 + 53 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (198584125343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7231512 + ... + 7258920.

It is an arithmetic number, because the mean of its divisors is an integer number (4280235960).

Almost surely, 2^198584125344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198584125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308176989120).

198584125344 is an abundant number, since it is smaller than the sum of its proper divisors (417769852896).

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

198584125344 is a wasteful number, since it uses less digits than its factorization.

198584125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29723 (or 29712 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 198584125344 in words is "one hundred ninety-eight billion, five hundred eighty-four million, one hundred twenty-five thousand, three hundred forty-four".