16720959622129 has 27 divisors (see below), whose sum is σ = 19535485769697. Its totient is φ = 14270202691584.

The previous prime is 16720959622111. The next prime is 16720959622139. The reversal of 16720959622129 is 92122695902761.

The square root of 16720959622129 is 4089127.

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 13398359782129 + 3322599840000 = 3660377^2 + 1822800^2 .

It is not a de Polignac number, because 16720959622129 - 2¹³ = 16720959613937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16720959622139) 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, 7356338337 + ... + 7356340609.

Almost surely, 2^{16720959622129} is an apocalyptic number.

16720959622129 is the 4089127-th square number.

16720959622129 is the 2044564-th centered octagonal number.

It is an amenable number.

16720959622129 is a deficient number, since it is larger than the sum of its proper divisors (2814526147568).

16720959622129 is an frugal number, since it uses more digits than its factorization.

16720959622129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 16720959622129 in words is "sixteen trillion, seven hundred twenty billion, nine hundred fifty-nine million, six hundred twenty-two thousand, one hundred twenty-nine".