198216545169600 has 1176 divisors, whose sum is σ = 740270723235120. Its totient is φ = 52210258698240.

The previous prime is 198216545169583. The next prime is 198216545169691. The reversal of 198216545169600 is 6961545612891.

198216545169600 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 1 + 6 + 5 + 4 + 5 + 16 + 9 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 44116744954 + ... + 44116749446.

Almost surely, 2^{198216545169600} is an apocalyptic number.

198216545169600 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 198216545169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370135361617560).

198216545169600 is an abundant number, since it is smaller than the sum of its proper divisors (542054178065520).

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

198216545169600 is a wasteful number, since it uses less digits than its factorization.

198216545169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 198216545169600 in words is "one hundred ninety-eight trillion, two hundred sixteen billion, five hundred forty-five million, one hundred sixty-nine thousand, six hundred".