199444300125625 has 15 divisors (see below), whose sum is σ = 249226038623881. Its totient is φ = 159555157651000.

The previous prime is 199444300125613. The next prime is 199444300125649. The reversal of 199444300125625 is 526521003444991.

The square root of 199444300125625 is 14122475.

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

It can be written as a sum of positive squares in 2 ways, for example, as 15636433129849 + 183807866995776 = 3954293^2 + 13557576^2 .

It is not a de Polignac number, because 199444300125625 - 2⁵ = 199444300125593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 352779426 + ... + 353344324.

Almost surely, 2^{199444300125625} is an apocalyptic number.

199444300125625 is the 14122475-th square number.

199444300125625 is the 7061238-th centered octagonal number.

It is an amenable number.

199444300125625 is a deficient number, since it is larger than the sum of its proper divisors (49781738498256).

199444300125625 is an frugal number, since it uses more digits than its factorization.

199444300125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129818 (or 564904 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 199444300125625 in words is "one hundred ninety-nine trillion, four hundred forty-four billion, three hundred million, one hundred twenty-five thousand, six hundred twenty-five".