16607442499729 has 27 divisors (see below), whose sum is σ = 17984937325873. Its totient is φ = 15332227793792.

The previous prime is 16607442499709. The next prime is 16607442499751. The reversal of 16607442499729 is 92799424470661.

The square root of 16607442499729 is 4075223.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4161081856129 + 12446360643600 = 2039873^2 + 3527940^2 .

It is not a de Polignac number, because 16607442499729 - 2⁹ = 16607442499217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16607442499709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3671773662 + ... + 3671778184.

Almost surely, 2^{16607442499729} is an apocalyptic number.

16607442499729 is the 4075223-rd square number.

16607442499729 is the 2037612-nd centered octagonal number.

It is an amenable number.

16607442499729 is a deficient number, since it is larger than the sum of its proper divisors (1377494826144).

16607442499729 is an frugal number, since it uses more digits than its factorization.

16607442499729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 70.

The spelling of 16607442499729 in words is "sixteen trillion, six hundred seven billion, four hundred forty-two million, four hundred ninety-nine thousand, seven hundred twenty-nine".