198579411972 has 192 divisors, whose sum is σ = 535160908800. Its totient is φ = 63632701440.

The previous prime is 198579411923. The next prime is 198579411991. The reversal of 198579411972 is 279114975891.

198579411972 is a `hidden beast` number, since 1 + 9 + 8 + 579 + 41 + 19 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144631078 + ... + 144632450.

It is an arithmetic number, because the mean of its divisors is an integer number (2787296400).

Almost surely, 2^198579411972 is an apocalyptic number.

198579411972 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 198579411972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267580454400).

198579411972 is an abundant number, since it is smaller than the sum of its proper divisors (336581496828).

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

198579411972 is a wasteful number, since it uses less digits than its factorization.

198579411972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1875 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 63.

The spelling of 198579411972 in words is "one hundred ninety-eight billion, five hundred seventy-nine million, four hundred eleven thousand, nine hundred seventy-two".