11085352369 has 45 divisors (see below), whose sum is σ = 14128496007. Its totient is φ = 8672279616.

The previous prime is 11085352363. The next prime is 11085352379. The reversal of 11085352369 is 96325358011.

The square root of 11085352369 is 105287.

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

11085352369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 9937497969 + 1147854400 = 99687^2 + 33880^2 .

It is not a de Polignac number, because 11085352369 - 2⁷ = 11085352241 is a prime.

It is a super-2 number, since 2×11085352369² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11085352363) 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 44 ways as a sum of consecutive naturals, for example, 124554477 + ... + 124554565.

Almost surely, 2^11085352369 is an apocalyptic number.

11085352369 is the 105287-th square number.

11085352369 is the 52644-th centered octagonal number.

It is an amenable number.

11085352369 is a deficient number, since it is larger than the sum of its proper divisors (3043143638).

11085352369 is an frugal number, since it uses more digits than its factorization.

11085352369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 11085352369 in words is "eleven billion, eighty-five million, three hundred fifty-two thousand, three hundred sixty-nine".