198014846328 has 192 divisors, whose sum is σ = 607427009280. Its totient is φ = 57849292800.

The previous prime is 198014846299. The next prime is 198014846389. The reversal of 198014846328 is 823648410891.

It is a happy number.

198014846328 is a `hidden beast` number, since 1 + 9 + 80 + 1 + 484 + 63 + 28 = 666.

198014846328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473468 + ... + 1602228.

It is an arithmetic number, because the mean of its divisors is an integer number (3163682340).

Almost surely, 2^198014846328 is an apocalyptic number.

198014846328 is a gapful number since it is divisible by the number (18) 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 198014846328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303713504640).

198014846328 is an abundant number, since it is smaller than the sum of its proper divisors (409412162952).

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

198014846328 is a wasteful number, since it uses less digits than its factorization.

198014846328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128870 (or 128863 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 198014846328 in words is "one hundred ninety-eight billion, fourteen million, eight hundred forty-six thousand, three hundred twenty-eight".