11044066044011 has 150 divisors (see below), whose sum is σ = 15353356012596. Its totient is φ = 7943783767920.

The previous prime is 11044066044007. The next prime is 11044066044013.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11044066044011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11044066044011 - 2² = 11044066044007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11044066044013) 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 149 ways as a sum of consecutive naturals, for example, 849543541841 + ... + 849543541853.

Almost surely, 2^{11044066044011} is an apocalyptic number.

11044066044011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11044066044011 is a deficient number, since it is larger than the sum of its proper divisors (4309289968585).

11044066044011 is an frugal number, since it uses more digits than its factorization.

11044066044011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 1104406 and 6044011, that added together give a palindrome (7148417).

The spelling of 11044066044011 in words is "eleven trillion, forty-four billion, sixty-six million, forty-four thousand, eleven".