198882335232 has 1440 divisors, whose sum is σ = 779389490880. Its totient is φ = 50164531200.

The previous prime is 198882335059. The next prime is 198882335233. The reversal of 198882335232 is 232533288891.

It is a happy number.

198882335232 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 82 + 33 + 523 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (198882335233) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1969131982 + ... + 1969132082.

It is an arithmetic number, because the mean of its divisors is an integer number (541242702).

Almost surely, 2^198882335232 is an apocalyptic number.

198882335232 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 198882335232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389694745440).

198882335232 is an abundant number, since it is smaller than the sum of its proper divisors (580507155648).

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

198882335232 is a wasteful number, since it uses less digits than its factorization.

198882335232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 198882335232 in words is "one hundred ninety-eight billion, eight hundred eighty-two million, three hundred thirty-five thousand, two hundred thirty-two".