17422134084289 has 27 divisors (see below), whose sum is σ = 19245553130601. Its totient is φ = 15759624133440.

The previous prime is 17422134084263. The next prime is 17422134084293. The reversal of 17422134084289 is 98248043122471.

It is a happy number.

The square root of 17422134084289 is 4173983.

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 1877187711025 + 15544946373264 = 1370105^2 + 3942708^2 .

It is not a de Polignac number, because 17422134084289 - 2²⁵ = 17422100529857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17422134084989) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 10514262349 + ... + 10514264005.

Almost surely, 2^{17422134084289} is an apocalyptic number.

17422134084289 is the 4173983-rd square number.

17422134084289 is the 2086992-nd centered octagonal number.

It is an amenable number.

17422134084289 is a deficient number, since it is larger than the sum of its proper divisors (1823419046312).

17422134084289 is an frugal number, since it uses more digits than its factorization.

17422134084289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 17422134084289 in words is "seventeen trillion, four hundred twenty-two billion, one hundred thirty-four million, eighty-four thousand, two hundred eighty-nine".