199814741184 has 112 divisors (see below), whose sum is σ = 540542366208. Its totient is φ = 65113248768.

The previous prime is 199814741177. The next prime is 199814741197. The reversal of 199814741184 is 481147418991.

It is a happy number.

199814741184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×199814741184³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8172562 + ... + 8196974.

Almost surely, 2^199814741184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199814741184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270271183104).

199814741184 is an abundant number, since it is smaller than the sum of its proper divisors (340727625024).

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

199814741184 is a wasteful number, since it uses less digits than its factorization.

199814741184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25382 (or 25372 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 57.

The spelling of 199814741184 in words is "one hundred ninety-nine billion, eight hundred fourteen million, seven hundred forty-one thousand, one hundred eighty-four".