11269173727681 has 9 divisors (see below), whose sum is σ = 11644529500323. Its totient is φ = 10905551285760.

The previous prime is 11269173727663. The next prime is 11269173727687. The reversal of 11269173727681 is 18672737196211.

The square root of 11269173727681 is 3356959.

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

It can be written as a sum of positive squares in only one way, i.e., 455073017281 + 10814100710400 = 674591^2 + 3288480^2 .

It is not a de Polignac number, because 11269173727681 - 2⁹ = 11269173727169 is a prime.

It is a super-2 number, since 2×11269173727681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11269173727687) 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, 104011585 + ... + 104119873.

It is an arithmetic number, because the mean of its divisors is an integer number (1293836611147).

Almost surely, 2^{11269173727681} is an apocalyptic number.

11269173727681 is the 3356959-th square number.

11269173727681 is the 1678480-th centered octagonal number.

It is an amenable number.

11269173727681 is a deficient number, since it is larger than the sum of its proper divisors (375355772642).

11269173727681 is an frugal number, since it uses more digits than its factorization.

11269173727681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216640 (or 108320 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 61.

The spelling of 11269173727681 in words is "eleven trillion, two hundred sixty-nine billion, one hundred seventy-three million, seven hundred twenty-seven thousand, six hundred eighty-one".