198116352 has 264 divisors, whose sum is σ = 679538496. Its totient is φ = 54411264.

The previous prime is 198116333. The next prime is 198116353. The reversal of 198116352 is 253611891.

198116352 is a `hidden beast` number, since 1 + 9 + 8 + 11 + 635 + 2 = 666.

It is a super-3 number, since 3×198116352³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (198116353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386903 + ... + 2386985.

Almost surely, 2^198116352 is an apocalyptic number.

198116352 is a gapful number since it is divisible by the number (12) 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 198116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339769248).

198116352 is an abundant number, since it is smaller than the sum of its proper divisors (481422144).

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

198116352 is a wasteful number, since it uses less digits than its factorization.

198116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 198116352 is about 14075.3810605610. The cubic root of 198116352 is about 582.9618134642.

The spelling of 198116352 in words is "one hundred ninety-eight million, one hundred sixteen thousand, three hundred fifty-two".