198011416320 has 288 divisors, whose sum is σ = 707399784000. Its totient is φ = 52447297536.

The previous prime is 198011416319. The next prime is 198011416331. The reversal of 198011416320 is 23614110891.

198011416320 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 1 + 14 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5130214 + ... + 5168666.

It is an arithmetic number, because the mean of its divisors is an integer number (2456249250).

Almost surely, 2^198011416320 is an apocalyptic number.

198011416320 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 198011416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353699892000).

198011416320 is an abundant number, since it is smaller than the sum of its proper divisors (509388367680).

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

198011416320 is a wasteful number, since it uses less digits than its factorization.

198011416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38632 (or 38612 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 198011416320 in words is "one hundred ninety-eight billion, eleven million, four hundred sixteen thousand, three hundred twenty".