198365116320 has 2304 divisors, whose sum is σ = 922237747200. Its totient is φ = 39504568320.

The previous prime is 198365116319. The next prime is 198365116379. The reversal of 198365116320 is 23611563891.

198365116320 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 6 + 5 + 1 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 4613142219 + ... + 4613142261.

It is an arithmetic number, because the mean of its divisors is an integer number (400276800).

Almost surely, 2^198365116320 is an apocalyptic number.

198365116320 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 198365116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461118873600).

198365116320 is an abundant number, since it is smaller than the sum of its proper divisors (723872630880).

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

198365116320 is a wasteful number, since it uses less digits than its factorization.

198365116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 198365116320 in words is "one hundred ninety-eight billion, three hundred sixty-five million, one hundred sixteen thousand, three hundred twenty".