11144382845211 has 32 divisors (see below), whose sum is σ = 20584141478400. Its totient is φ = 5789289788640.

The previous prime is 11144382845171. The next prime is 11144382845227. The reversal of 11144382845211 is 11254828344111.

11144382845211 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 43 + 8 + 2 + 84 + 521 + 1 = 666.

It is not a de Polignac number, because 11144382845211 - 2⁷ = 11144382845083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11144382845231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2680224676 + ... + 2680228833.

It is an arithmetic number, because the mean of its divisors is an integer number (643254421200).

Almost surely, 2^{11144382845211} is an apocalyptic number.

11144382845211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11144382845211 is a deficient number, since it is larger than the sum of its proper divisors (9439758633189).

11144382845211 is a wasteful number, since it uses less digits than its factorization.

11144382845211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360453536 (or 5360453530 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 11144382845211 in words is "eleven trillion, one hundred forty-four billion, three hundred eighty-two million, eight hundred forty-five thousand, two hundred eleven".