198116852339520 has 1344 divisors, whose sum is σ = 756680895210240. Its totient is φ = 49164967084032.

The previous prime is 198116852339459. The next prime is 198116852339573. The reversal of 198116852339520 is 25933258611891.

198116852339520 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 1 + 6 + 85 + 23 + 3 + 9 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88326727519 + ... + 88326729761.

It is an arithmetic number, because the mean of its divisors is an integer number (563006618460).

Almost surely, 2^{198116852339520} is an apocalyptic number.

198116852339520 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 198116852339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378340447605120).

198116852339520 is an abundant number, since it is smaller than the sum of its proper divisors (558564042870720).

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

198116852339520 is a wasteful number, since it uses less digits than its factorization.

198116852339520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 198116852339520 in words is "one hundred ninety-eight trillion, one hundred sixteen billion, eight hundred fifty-two million, three hundred thirty-nine thousand, five hundred twenty".