198867969849600 has 1296 divisors, whose sum is σ = 766697059914240. Its totient is φ = 50944470220800.

The previous prime is 198867969849587. The next prime is 198867969849727. The reversal of 198867969849600 is 6948969768891.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6604919346 + ... + 6604949454.

Almost surely, 2^{198867969849600} is an apocalyptic number.

198867969849600 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 198867969849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383348529957120).

198867969849600 is an abundant number, since it is smaller than the sum of its proper divisors (567829090064640).

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

198867969849600 is a wasteful number, since it uses less digits than its factorization.

198867969849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30318 (or 30287 counting only the distinct ones).

The product of its (nonzero) digits is 20316635136, while the sum is 90.

The spelling of 198867969849600 in words is "one hundred ninety-eight trillion, eight hundred sixty-seven billion, nine hundred sixty-nine million, eight hundred forty-nine thousand, six hundred".