198341919600 has 720 divisors, whose sum is σ = 740249228160. Its totient is φ = 45010483200.

The previous prime is 198341919599. The next prime is 198341919623. The reversal of 198341919600 is 6919143891.

It is a super-2 number, since 2×198341919600² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 509876206 + ... + 509876594.

It is an arithmetic number, because the mean of its divisors is an integer number (1028123928).

Almost surely, 2^198341919600 is an apocalyptic number.

198341919600 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 198341919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370124614080).

198341919600 is an abundant number, since it is smaller than the sum of its proper divisors (541907308560).

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

198341919600 is a wasteful number, since it uses less digits than its factorization.

198341919600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 198341919600 in words is "one hundred ninety-eight billion, three hundred forty-one million, nine hundred nineteen thousand, six hundred".