198598049556480 has 1728 divisors, whose sum is σ = 808602278178240. Its totient is φ = 44947419955200.

The previous prime is 198598049556299. The next prime is 198598049556497. The reversal of 198598049556480 is 84655940895891.

198598049556480 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 9 + 8 + 0 + 49 + 5 + 564 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 198598049556480.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 244880455275 + ... + 244880456085.

It is an arithmetic number, because the mean of its divisors is an integer number (467941133205).

Almost surely, 2^{198598049556480} is an apocalyptic number.

198598049556480 is a gapful number since it is divisible by the number (10) 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 198598049556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404301139089120).

198598049556480 is an abundant number, since it is smaller than the sum of its proper divisors (610004228621760).

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

198598049556480 is a wasteful number, since it uses less digits than its factorization.

198598049556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 4478976000, while the sum is 81.

The spelling of 198598049556480 in words is "one hundred ninety-eight trillion, five hundred ninety-eight billion, forty-nine million, five hundred fifty-six thousand, four hundred eighty".