198561124224 has 256 divisors, whose sum is σ = 594683745600. Its totient is φ = 66029064192.

The previous prime is 198561124207. The next prime is 198561124277. The reversal of 198561124224 is 422421165891.

198561124224 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 611 + 2 + 4 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 198561124224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211911084 + ... + 211912020.

Almost surely, 2^198561124224 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 198561124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297341872800).

198561124224 is an abundant number, since it is smaller than the sum of its proper divisors (396122621376).

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

198561124224 is an frugal number, since it uses more digits than its factorization.

198561124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1699 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 198561124224 in words is "one hundred ninety-eight billion, five hundred sixty-one million, one hundred twenty-four thousand, two hundred twenty-four".