11291165814289 has 9 divisors (see below), whose sum is σ = 11308952592777. Its totient is φ = 11273406982884.

The previous prime is 11291165814287. The next prime is 11291165814329. The reversal of 11291165814289 is 98241856119211.

The square root of 11291165814289 is 3360233.

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

It is not a de Polignac number, because 11291165814289 - 2¹ = 11291165814287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11291165814283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2483209914 + ... + 2483214460.

Almost surely, 2^{11291165814289} is an apocalyptic number.

11291165814289 is the 3360233-rd square number.

11291165814289 is the 1680117-th centered octagonal number.

It is an amenable number.

11291165814289 is a deficient number, since it is larger than the sum of its proper divisors (17786778488).

11291165814289 is an frugal number, since it uses more digits than its factorization.

11291165814289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10572 (or 5286 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 58.

The spelling of 11291165814289 in words is "eleven trillion, two hundred ninety-one billion, one hundred sixty-five million, eight hundred fourteen thousand, two hundred eighty-nine".