198042225696 has 768 divisors, whose sum is σ = 738881740800. Its totient is φ = 50276007936.

The previous prime is 198042225637. The next prime is 198042225701. The reversal of 198042225696 is 696522240891.

198042225696 is a `hidden beast` number, since 1 + 9 + 80 + 422 + 2 + 56 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196275240 + ... + 196276248.

It is an arithmetic number, because the mean of its divisors is an integer number (962085600).

Almost surely, 2^198042225696 is an apocalyptic number.

198042225696 is a gapful number since it is divisible by the number (16) 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 198042225696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369440870400).

198042225696 is an abundant number, since it is smaller than the sum of its proper divisors (540839515104).

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

198042225696 is a wasteful number, since it uses less digits than its factorization.

198042225696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 198042225696 in words is "one hundred ninety-eight billion, forty-two million, two hundred twenty-five thousand, six hundred ninety-six".