199709712384 has 336 divisors, whose sum is σ = 667173690288. Its totient is φ = 52666564608.

The previous prime is 199709712359. The next prime is 199709712439. The reversal of 199709712384 is 483217907991.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 15648534 + ... + 15661290.

It is an arithmetic number, because the mean of its divisors is an integer number (1985635983).

Almost surely, 2^199709712384 is an apocalyptic number.

199709712384 is a gapful number since it is divisible by the number (14) 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 199709712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333586845144).

199709712384 is an abundant number, since it is smaller than the sum of its proper divisors (467463977904).

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

199709712384 is a wasteful number, since it uses less digits than its factorization.

199709712384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12813 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 60.

The spelling of 199709712384 in words is "one hundred ninety-nine billion, seven hundred nine million, seven hundred twelve thousand, three hundred eighty-four".