198753968128 has 56 divisors (see below), whose sum is σ = 401344442928. Its totient is φ = 98411741184.

The previous prime is 198753968123. The next prime is 198753968131. The reversal of 198753968128 is 821869357891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198753968123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 726000 + ... + 961552.

Almost surely, 2^198753968128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198753968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200672221464).

198753968128 is an abundant number, since it is smaller than the sum of its proper divisors (202590474800).

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

198753968128 is an equidigital number, since it uses as much as digits as its factorization.

198753968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235682 (or 235658 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 67.

The spelling of 198753968128 in words is "one hundred ninety-eight billion, seven hundred fifty-three million, nine hundred sixty-eight thousand, one hundred twenty-eight".