11756848041 has 27 divisors (see below), whose sum is σ = 17373715671. Its totient is φ = 7661159424.

The previous prime is 11756848009. The next prime is 11756848057. The reversal of 11756848041 is 14084865711.

The square root of 11756848041 is 108429.

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

11756848041 is a `hidden beast` number, since 1 + 1 + 7 + 568 + 4 + 80 + 4 + 1 = 666.

11756848041 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., 4599688041 + 7157160000 = 67821^2 + 84600^2 .

It is not a de Polignac number, because 11756848041 - 2⁵ = 11756848009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11756848091) 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 26 ways as a sum of consecutive naturals, for example, 15288105 + ... + 15288873.

Almost surely, 2^11756848041 is an apocalyptic number.

11756848041 is the 108429-th square number.

11756848041 is the 54215-th centered octagonal number.

It is an amenable number.

11756848041 is a deficient number, since it is larger than the sum of its proper divisors (5616867630).

11756848041 is an frugal number, since it uses more digits than its factorization.

11756848041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 11756848041 in words is "eleven billion, seven hundred fifty-six million, eight hundred forty-eight thousand, forty-one".