198361113600 has 1584 divisors, whose sum is σ = 802665054720. Its totient is φ = 42939187200.

The previous prime is 198361113593. The next prime is 198361113611. The reversal of 198361113600 is 6311163891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 6398745585 + ... + 6398745615.

Almost surely, 2^198361113600 is an apocalyptic number.

198361113600 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 198361113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401332527360).

198361113600 is an abundant number, since it is smaller than the sum of its proper divisors (604303941120).

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

198361113600 is a wasteful number, since it uses less digits than its factorization.

198361113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 198361113600 in words is "one hundred ninety-eight billion, three hundred sixty-one million, one hundred thirteen thousand, six hundred".