198868100352 has 144 divisors (see below), whose sum is σ = 543101919360. Its totient is φ = 64563609600.

The previous prime is 198868100257. The next prime is 198868100383. The reversal of 198868100352 is 253001868891.

It is a super-2 number, since 2×198868100352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198868100295 and 198868100304.

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 15 ways as a sum of consecutive naturals, for example, 19863924 + ... + 19873932.

Almost surely, 2^198868100352 is an apocalyptic number.

198868100352 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 198868100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271550959680).

198868100352 is an abundant number, since it is smaller than the sum of its proper divisors (344233819008).

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

198868100352 is a wasteful number, since it uses less digits than its factorization.

198868100352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 10686 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 198868100352 in words is "one hundred ninety-eight billion, eight hundred sixty-eight million, one hundred thousand, three hundred fifty-two".