11264534541 has 64 divisors (see below), whose sum is σ = 18966528000. Its totient is φ = 6550269120.

The previous prime is 11264534531. The next prime is 11264534549. The reversal of 11264534541 is 14543546211.

11264534541 is a `hidden beast` number, since 1 + 1 + 2 + 64 + 53 + 4 + 541 = 666.

11264534541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11264534541 - 2¹⁰ = 11264533517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11264534496 and 11264534505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264534549) 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 63 ways as a sum of consecutive naturals, for example, 2872380 + ... + 2876298.

It is an arithmetic number, because the mean of its divisors is an integer number (296352000).

Almost surely, 2^11264534541 is an apocalyptic number.

It is an amenable number.

11264534541 is a deficient number, since it is larger than the sum of its proper divisors (7701993459).

11264534541 is a wasteful number, since it uses less digits than its factorization.

11264534541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4385 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 11264534541 in words is "eleven billion, two hundred sixty-four million, five hundred thirty-four thousand, five hundred forty-one".