11181582049 has 9 divisors (see below), whose sum is σ = 12291777939. Its totient is φ = 10164017160.

The previous prime is 11181582029. The next prime is 11181582059. The reversal of 11181582049 is 94028518111.

The square root of 11181582049 is 105743.

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., 11139747025 + 41835024 = 105545^2 + 6468^2 .

It is not a de Polignac number, because 11181582049 - 2¹¹ = 11181580001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11181582029) 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, 1158367 + ... + 1167979.

Almost surely, 2^11181582049 is an apocalyptic number.

11181582049 is the 105743-rd square number.

11181582049 is the 52872-nd centered octagonal number.

It is an amenable number.

11181582049 is a deficient number, since it is larger than the sum of its proper divisors (1110195890).

11181582049 is an frugal number, since it uses more digits than its factorization.

11181582049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19248 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 40.

The spelling of 11181582049 in words is "eleven billion, one hundred eighty-one million, five hundred eighty-two thousand, forty-nine".