11486827341 has 48 divisors (see below), whose sum is σ = 18620085120. Its totient is φ = 6762476160.

The previous prime is 11486827277. The next prime is 11486827369. The reversal of 11486827341 is 14372868411.

11486827341 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 11486827341 - 2⁶ = 11486827277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11486827841) 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 47 ways as a sum of consecutive naturals, for example, 2594856 + ... + 2599278.

It is an arithmetic number, because the mean of its divisors is an integer number (387918440).

Almost surely, 2^11486827341 is an apocalyptic number.

11486827341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11486827341 is a deficient number, since it is larger than the sum of its proper divisors (7133257779).

11486827341 is a wasteful number, since it uses less digits than its factorization.

11486827341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5183 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 11486827341 in words is "eleven billion, four hundred eighty-six million, eight hundred twenty-seven thousand, three hundred forty-one".