198090718608960 has 336 divisors, whose sum is σ = 716163046874496. Its totient is φ = 50158671568896.

The previous prime is 198090718608949. The next prime is 198090718608961. The reversal of 198090718608960 is 69806817090891.

198090718608960 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 9 + 0 + 7 + 1 + 8 + 608 + 9 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (198090718608961) 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 47 ways as a sum of consecutive naturals, for example, 1839354 + ... + 19989113.

Almost surely, 2^{198090718608960} is an apocalyptic number.

198090718608960 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 198090718608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358081523437248).

198090718608960 is an abundant number, since it is smaller than the sum of its proper divisors (518072328265536).

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

198090718608960 is a wasteful number, since it uses less digits than its factorization.

198090718608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21828650 (or 21828637 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 72.

The spelling of 198090718608960 in words is "one hundred ninety-eight trillion, ninety billion, seven hundred eighteen million, six hundred eight thousand, nine hundred sixty".