199320182886400 has 117 divisors (see below), whose sum is σ = 494264915481801. Its totient is φ = 79726266040320.

The previous prime is 199320182886373. The next prime is 199320182886509. The reversal of 199320182886400 is 4688281023991.

The square root of 199320182886400 is 14118080.

It is a perfect power (a square), and thus also a powerful number.

199320182886400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 71755265839104 + 127564917047296 = 8470848^2 + 11294464^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 4517763541 + ... + 4517807659.

Almost surely, 2^{199320182886400} is an apocalyptic number.

199320182886400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199320182886400 is the 14118080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199320182886400

199320182886400 is an abundant number, since it is smaller than the sum of its proper divisors (294944732595401).

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

199320182886400 is an frugal number, since it uses more digits than its factorization.

199320182886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88272 (or 44126 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 61.

The spelling of 199320182886400 in words is "one hundred ninety-nine trillion, three hundred twenty billion, one hundred eighty-two million, eight hundred eighty-six thousand, four hundred".