11205416241 has 6 divisors (see below), whose sum is σ = 16185601250. Its totient is φ = 7470277488.

The previous prime is 11205416213. The next prime is 11205416249. The reversal of 11205416241 is 14261450211.

11205416241 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 5 + 416 + 241 = 666.

11205416241 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 only one way, i.e., 9385540641 + 1819875600 = 96879^2 + 42660^2 .

It is not a de Polignac number, because 11205416241 - 2¹¹ = 11205414193 is a prime.

It is a super-2 number, since 2×11205416241² (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 (11205416249) 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 5 ways as a sum of consecutive naturals, for example, 622523116 + ... + 622523133.

Almost surely, 2^11205416241 is an apocalyptic number.

It is an amenable number.

11205416241 is a deficient number, since it is larger than the sum of its proper divisors (4980185009).

11205416241 is a wasteful number, since it uses less digits than its factorization.

11205416241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245046255 (or 1245046252 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11205416241 its reverse (14261450211), we get a palindrome (25466866452).

The spelling of 11205416241 in words is "eleven billion, two hundred five million, four hundred sixteen thousand, two hundred forty-one".