198879001650432 has 360 divisors, whose sum is σ = 605219615542080. Its totient is φ = 64937358581760.

The previous prime is 198879001650419. The next prime is 198879001650443. The reversal of 198879001650432 is 234056100978891.

198879001650432 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 7 + 90 + 0 + 1 + 6 + 504 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 198879001650432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343492893 + ... + 344071395.

It is an arithmetic number, because the mean of its divisors is an integer number (1681165598728).

It is a 1-persistent number, because it is pandigital, but 2⋅198879001650432 = 397758003300864 is not.

Almost surely, 2^{198879001650432} is an apocalyptic number.

198879001650432 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 198879001650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302609807771040).

198879001650432 is an abundant number, since it is smaller than the sum of its proper divisors (406340613891648).

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

198879001650432 is an equidigital number, since it uses as much as digits as its factorization.

198879001650432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578871 (or 578848 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 198879001650432 in words is "one hundred ninety-eight trillion, eight hundred seventy-nine billion, one million, six hundred fifty thousand, four hundred thirty-two".