199493904384 has 288 divisors, whose sum is σ = 617866704000. Its totient is φ = 61786423296.

The previous prime is 199493904359. The next prime is 199493904397. The reversal of 199493904384 is 483409394991.

199493904384 is a `hidden beast` number, since 1 + 99 + 49 + 390 + 43 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24750147 + ... + 24758205.

It is an arithmetic number, because the mean of its divisors is an integer number (2145370500).

Almost surely, 2^199493904384 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 199493904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308933352000).

199493904384 is an abundant number, since it is smaller than the sum of its proper divisors (418372799616).

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

199493904384 is a wasteful number, since it uses less digits than its factorization.

199493904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 199493904384 in words is "one hundred ninety-nine billion, four hundred ninety-three million, nine hundred four thousand, three hundred eighty-four".