199308234808224 has 144 divisors (see below), whose sum is σ = 568679623031520. Its totient is φ = 66213777784320.

The previous prime is 199308234808201. The next prime is 199308234808231. The reversal of 199308234808224 is 422808432803991.

199308234808224 is a `hidden beast` number, since 1 + 9 + 9 + 30 + 8 + 23 + 480 + 82 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1055681067 + ... + 1055869845.

It is an arithmetic number, because the mean of its divisors is an integer number (3949164048830).

Almost surely, 2^{199308234808224} 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 199308234808224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284339811515760).

199308234808224 is an abundant number, since it is smaller than the sum of its proper divisors (369371388223296).

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

199308234808224 is a wasteful number, since it uses less digits than its factorization.

199308234808224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201043 (or 201032 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 199308234808224 in words is "one hundred ninety-nine trillion, three hundred eight billion, two hundred thirty-four million, eight hundred eight thousand, two hundred twenty-four".