198504345600 has 1248 divisors, whose sum is σ = 816122407680. Its totient is φ = 46891008000.

The previous prime is 198504345577. The next prime is 198504345607. The reversal of 198504345600 is 6543405891.

198504345600 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 0 + 4 + 34 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198504345607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1855180747 + ... + 1855180853.

Almost surely, 2^198504345600 is an apocalyptic number.

198504345600 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 198504345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408061203840).

198504345600 is an abundant number, since it is smaller than the sum of its proper divisors (617618062080).

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

198504345600 is a wasteful number, since it uses less digits than its factorization.

198504345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 198504345600 in words is "one hundred ninety-eight billion, five hundred four million, three hundred forty-five thousand, six hundred".