11244124444311 has 64 divisors (see below), whose sum is σ = 18214330775040. Its totient is φ = 6798884843520.

The previous prime is 11244124444309. The next prime is 11244124444327. The reversal of 11244124444311 is 11344442144211.

11244124444311 is a `hidden beast` number, since 1 + 1 + 24 + 41 + 244 + 44 + 311 = 666.

It is not a de Polignac number, because 11244124444311 - 2¹ = 11244124444309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244124444211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246035415 + ... + 246081111.

It is an arithmetic number, because the mean of its divisors is an integer number (284598918360).

Almost surely, 2^{11244124444311} is an apocalyptic number.

11244124444311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11244124444311 is a deficient number, since it is larger than the sum of its proper divisors (6970206330729).

11244124444311 is a wasteful number, since it uses less digits than its factorization.

11244124444311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47613 (or 47607 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 11244124444311 its reverse (11344442144211), we get a palindrome (22588566588522).

The spelling of 11244124444311 in words is "eleven trillion, two hundred forty-four billion, one hundred twenty-four million, four hundred forty-four thousand, three hundred eleven".