198671329296 has 240 divisors, whose sum is σ = 621652711680. Its totient is φ = 58708903680.

The previous prime is 198671329289. The next prime is 198671329331. The reversal of 198671329296 is 692923176891.

198671329296 is a `hidden beast` number, since 19 + 8 + 6 + 7 + 1 + 329 + 296 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50332795 + ... + 50336741.

It is an arithmetic number, because the mean of its divisors is an integer number (2590219632).

Almost surely, 2^198671329296 is an apocalyptic number.

198671329296 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 198671329296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310826355840).

198671329296 is an abundant number, since it is smaller than the sum of its proper divisors (422981382384).

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

198671329296 is a wasteful number, since it uses less digits than its factorization.

198671329296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4745 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 198671329296 in words is "one hundred ninety-eight billion, six hundred seventy-one million, three hundred twenty-nine thousand, two hundred ninety-six".