198100793899008 has 3840 divisors, whose sum is σ = 859389064934400. Its totient is φ = 43754937384960.

The previous prime is 198100793899003. The next prime is 198100793899049. The reversal of 198100793899008 is 800998397001891.

198100793899008 is a `hidden beast` number, since 1 + 98 + 1 + 0 + 0 + 79 + 389 + 90 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198100793899003) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 116735882416 + ... + 116735884112.

It is an arithmetic number, because the mean of its divisors is an integer number (223799235660).

Almost surely, 2^{198100793899008} is an apocalyptic number.

198100793899008 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 198100793899008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429694532467200).

198100793899008 is an abundant number, since it is smaller than the sum of its proper divisors (661288271035392).

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

198100793899008 is a wasteful number, since it uses less digits than its factorization.

198100793899008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 72.

The spelling of 198100793899008 in words is "one hundred ninety-eight trillion, one hundred billion, seven hundred ninety-three million, eight hundred ninety-nine thousand, eight".