198016097994000 has 960 divisors, whose sum is σ = 822799887436800. Its totient is φ = 43750347264000.

The previous prime is 198016097993993. The next prime is 198016097994007. The reversal of 198016097994000 is 499790610891.

198016097994000 is a `hidden beast` number, since 1 + 9 + 80 + 1 + 60 + 9 + 7 + 99 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (198016097993993) and next prime (198016097994007).

It is not an unprimeable number, because it can be changed into a prime (198016097994007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 202859106 + ... + 203832894.

It is an arithmetic number, because the mean of its divisors is an integer number (857083216080).

Almost surely, 2^{198016097994000} is an apocalyptic number.

198016097994000 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 198016097994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411399943718400).

198016097994000 is an abundant number, since it is smaller than the sum of its proper divisors (624783789442800).

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

198016097994000 is a wasteful number, since it uses less digits than its factorization.

198016097994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973921 (or 973902 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 198016097994000 in words is "one hundred ninety-eight trillion, sixteen billion, ninety-seven million, nine hundred ninety-four thousand".