198563693472 has 144 divisors (see below), whose sum is σ = 598011785280. Its totient is φ = 62365095936.

The previous prime is 198563693443. The next prime is 198563693491. The reversal of 198563693472 is 274396365891.

198563693472 is a `hidden beast` number, since 1 + 9 + 8 + 563 + 69 + 3 + 4 + 7 + 2 = 666.

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

It is an unprimeable number.

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, 220104 + ... + 667512.

It is an arithmetic number, because the mean of its divisors is an integer number (4152859620).

Almost surely, 2^198563693472 is an apocalyptic number.

198563693472 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 198563693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299005892640).

198563693472 is an abundant number, since it is smaller than the sum of its proper divisors (399448091808).

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

198563693472 is a wasteful number, since it uses less digits than its factorization.

198563693472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447515 (or 447504 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 198563693472 in words is "one hundred ninety-eight billion, five hundred sixty-three million, six hundred ninety-three thousand, four hundred seventy-two".