11129649948769 has 9 divisors (see below), whose sum is σ = 12233457222609. Its totient is φ = 10117830228660.

The previous prime is 11129649948737. The next prime is 11129649948829. The reversal of 11129649948769 is 96784994692111.

The square root of 11129649948769 is 3336113.

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

It is not a de Polignac number, because 11129649948769 - 2⁵ = 11129649948737 is a prime.

It is a super-2 number, since 2×11129649948769² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11129649948695 and 11129649948704.

It is not an unprimeable number, because it can be changed into a prime (11129649748769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36545602 + ... + 36848884.

Almost surely, 2^{11129649948769} is an apocalyptic number.

11129649948769 is the 3336113-rd square number.

11129649948769 is the 1668057-th centered octagonal number.

It is an amenable number.

11129649948769 is a deficient number, since it is larger than the sum of its proper divisors (1103807273840).

11129649948769 is an frugal number, since it uses more digits than its factorization.

11129649948769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606588 (or 303294 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 76.

The spelling of 11129649948769 in words is "eleven trillion, one hundred twenty-nine billion, six hundred forty-nine million, nine hundred forty-eight thousand, seven hundred sixty-nine".