198216491200 has 672 divisors, whose sum is σ = 644896473984. Its totient is φ = 58180239360.

The previous prime is 198216491173. The next prime is 198216491219. The reversal of 198216491200 is 2194612891.

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 95 ways as a sum of consecutive naturals, for example, 180689052 + ... + 180690148.

It is an arithmetic number, because the mean of its divisors is an integer number (959667372).

Almost surely, 2^198216491200 is an apocalyptic number.

198216491200 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 198216491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322448236992).

198216491200 is an abundant number, since it is smaller than the sum of its proper divisors (446679982784).

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

198216491200 is a wasteful number, since it uses less digits than its factorization.

198216491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 198216491200 in words is "one hundred ninety-eight billion, two hundred sixteen million, four hundred ninety-one thousand, two hundred".