198983860414992 has 240 divisors, whose sum is σ = 564910221021120. Its totient is φ = 65376326873088.

The previous prime is 198983860414957. The next prime is 198983860415029. The reversal of 198983860414992 is 299414068389891.

198983860414992 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 8 + 3 + 86 + 0 + 41 + 499 + 2 = 666.

It is a hoax number, since the sum of its digits (81) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5543171188 + ... + 5543207084.

It is an arithmetic number, because the mean of its divisors is an integer number (2353792587588).

Almost surely, 2^{198983860414992} is an apocalyptic number.

198983860414992 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 198983860414992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282455110510560).

198983860414992 is an abundant number, since it is smaller than the sum of its proper divisors (365926360606128).

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

198983860414992 is a wasteful number, since it uses less digits than its factorization.

198983860414992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37350 (or 37341 counting only the distinct ones).

The product of its (nonzero) digits is 1934917632, while the sum is 81.

The spelling of 198983860414992 in words is "one hundred ninety-eight trillion, nine hundred eighty-three billion, eight hundred sixty million, four hundred fourteen thousand, nine hundred ninety-two".