198450732412800 has 2304 divisors, whose sum is σ = 885467437171200. Its totient is φ = 43196832645120.

The previous prime is 198450732412799. The next prime is 198450732412901. The reversal of 198450732412800 is 8214237054891.

198450732412800 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 50 + 73 + 241 + 280 + 0 = 666.

198450732412800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22687858027 + ... + 22687866773.

It is an arithmetic number, because the mean of its divisors is an integer number (384317464050).

Almost surely, 2^{198450732412800} is an apocalyptic number.

198450732412800 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 198450732412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442733718585600).

198450732412800 is an abundant number, since it is smaller than the sum of its proper divisors (687016704758400).

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

198450732412800 is a wasteful number, since it uses less digits than its factorization.

198450732412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9050 (or 9020 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 198450732412800 in words is "one hundred ninety-eight trillion, four hundred fifty billion, seven hundred thirty-two million, four hundred twelve thousand, eight hundred".