11288209002849 has 27 divisors (see below), whose sum is σ = 16352894251603. Its totient is φ = 7503519781104.

The previous prime is 11288209002823. The next prime is 11288209002857. The reversal of 11288209002849 is 94820090288211.

The square root of 11288209002849 is 3359793.

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., 2664706906449 + 8623502096400 = 1632393^2 + 2936580^2 .

It is not a de Polignac number, because 11288209002849 - 2¹⁷ = 11288208871777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11288209002795 and 11288209002804.

It is not an unprimeable number, because it can be changed into a prime (11288209002899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3920876992 + ... + 3920879870.

Almost surely, 2^{11288209002849} is an apocalyptic number.

11288209002849 is the 3359793-rd square number.

11288209002849 is the 1679897-th centered octagonal number.

It is an amenable number.

11288209002849 is a deficient number, since it is larger than the sum of its proper divisors (5064685248754).

11288209002849 is an frugal number, since it uses more digits than its factorization.

11288209002849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 11288209002849 in words is "eleven trillion, two hundred eighty-eight billion, two hundred nine million, two thousand, eight hundred forty-nine".