198844416 has 224 divisors, whose sum is σ = 629107200. Its totient is φ = 61931520.

The previous prime is 198844391. The next prime is 198844421. The reversal of 198844416 is 614448891.

198844416 is a `hidden beast` number, since 198 + 8 + 44 + 416 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414321 + ... + 6414351.

Almost surely, 2^198844416 is an apocalyptic number.

198844416 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 198844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314553600).

198844416 is an abundant number, since it is smaller than the sum of its proper divisors (430262784).

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

198844416 is an equidigital number, since it uses as much as digits as its factorization.

198844416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 198844416 is about 14101.2203727195. The cubic root of 198844416 is about 583.6750553598.

The spelling of 198844416 in words is "one hundred ninety-eight million, eight hundred forty-four thousand, four hundred sixteen".