17152991374689 has 27 divisors (see below), whose sum is σ = 25080160056627. Its totient is φ = 11296873326816.

The previous prime is 17152991374657. The next prime is 17152991374691. The reversal of 17152991374689 is 98647319925171.

The square root of 17152991374689 is 4141617.

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

17152991374689 is a `hidden beast` number, since 1 + 7 + 1 + 5 + 29 + 9 + 137 + 468 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2433553200225 + 14719438174464 = 1559985^2 + 3836592^2 .

It is not a de Polignac number, because 17152991374689 - 2⁵ = 17152991374657 is a prime.

It is a super-2 number, since 2×17152991374689² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17152991374639) 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, 1031254317 + ... + 1031270949.

Almost surely, 2^{17152991374689} is an apocalyptic number.

17152991374689 is the 4141617-th square number.

17152991374689 is the 2070809-th centered octagonal number.

It is an amenable number.

17152991374689 is a deficient number, since it is larger than the sum of its proper divisors (7927168681938).

17152991374689 is an frugal number, since it uses more digits than its factorization.

17152991374689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33438 (or 16719 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 17152991374689 in words is "seventeen trillion, one hundred fifty-two billion, nine hundred ninety-one million, three hundred seventy-four thousand, six hundred eighty-nine".