198050362200 has 480 divisors, whose sum is σ = 706305798000. Its totient is φ = 51414912000.

The previous prime is 198050362123. The next prime is 198050362201. The reversal of 198050362200 is 2263050891.

198050362200 is a `hidden beast` number, since 1 + 98 + 0 + 5 + 0 + 362 + 200 = 666.

198050362200 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198050362201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104181250 + ... + 104183150.

Almost surely, 2^198050362200 is an apocalyptic number.

198050362200 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 198050362200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353152899000).

198050362200 is an abundant number, since it is smaller than the sum of its proper divisors (508255435800).

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

198050362200 is a wasteful number, since it uses less digits than its factorization.

198050362200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 198050362200 in words is "one hundred ninety-eight billion, fifty million, three hundred sixty-two thousand, two hundred".