11547006849 has 135 divisors (see below), whose sum is σ = 21161451363. Its totient is φ = 6065732736.

The previous prime is 11547006841. The next prime is 11547006851. The reversal of 11547006849 is 94860074511.

The square root of 11547006849 is 107457.

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

11547006849 is a `hidden beast` number, since 1 + 1 + 547 + 0 + 0 + 68 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8989884225 + 2557122624 = 94815^2 + 50568^2 .

It is not a de Polignac number, because 11547006849 - 2³ = 11547006841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11547006841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 268535022 + ... + 268535064.

Almost surely, 2^11547006849 is an apocalyptic number.

11547006849 is the 107457-th square number.

11547006849 is the 53729-th centered octagonal number.

It is an amenable number.

11547006849 is a deficient number, since it is larger than the sum of its proper divisors (9614444514).

11547006849 is an frugal number, since it uses more digits than its factorization.

11547006849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11547006849 in words is "eleven billion, five hundred forty-seven million, six thousand, eight hundred forty-nine".