11144632112433 has 96 divisors (see below), whose sum is σ = 17768782231200. Its totient is φ = 6701599162368.

The previous prime is 11144632112311. The next prime is 11144632112513. The reversal of 11144632112433 is 33421123644111.

11144632112433 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 6 + 3 + 211 + 2 + 433 = 666.

11144632112433 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 16 ways, for example, as 979292326464 + 10165339785969 = 989592^2 + 3188313^2 .

It is not a de Polignac number, because 11144632112433 - 2¹⁶ = 11144632046897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11144632112833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317774023 + ... + 317809091.

It is an arithmetic number, because the mean of its divisors is an integer number (185091481575).

Almost surely, 2^{11144632112433} is an apocalyptic number.

It is an amenable number.

11144632112433 is a deficient number, since it is larger than the sum of its proper divisors (6624150118767).

11144632112433 is a wasteful number, since it uses less digits than its factorization.

11144632112433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35971 (or 35968 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 11144632112433 its reverse (33421123644111), we get a palindrome (44565755756544).

The spelling of 11144632112433 in words is "eleven trillion, one hundred forty-four billion, six hundred thirty-two million, one hundred twelve thousand, four hundred thirty-three".