199433689344 has 216 divisors, whose sum is σ = 591858775872. Its totient is φ = 64538726400.

The previous prime is 199433689321. The next prime is 199433689349. The reversal of 199433689344 is 443986334991.

199433689344 is a `hidden beast` number, since 1 + 99 + 433 + 6 + 89 + 34 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (199433689349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42877419 + ... + 42882069.

Almost surely, 2^199433689344 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 199433689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295929387936).

199433689344 is an abundant number, since it is smaller than the sum of its proper divisors (392425086528).

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

199433689344 is a wasteful number, since it uses less digits than its factorization.

199433689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5196 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 199433689344 in words is "one hundred ninety-nine billion, four hundred thirty-three million, six hundred eighty-nine thousand, three hundred forty-four".