11042666624011 has 8 divisors (see below), whose sum is σ = 12165818136048. Its totient is φ = 9939393900000.

The previous prime is 11042666623973. The next prime is 11042666624029.

It is a happy number.

11042666624011 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11042666624011 - 2³⁵ = 11008306885643 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11042666624081) 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 7 ways as a sum of consecutive naturals, for example, 4969695840 + ... + 4969698061.

It is an arithmetic number, because the mean of its divisors is an integer number (1520727267006).

Almost surely, 2^{11042666624011} is an apocalyptic number.

11042666624011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11042666624011 is a deficient number, since it is larger than the sum of its proper divisors (1123151512037).

11042666624011 is a wasteful number, since it uses less digits than its factorization.

11042666624011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939394013.

The product of its (nonzero) digits is 82944, while the sum is 40.

It can be divided in two parts, 1104266 and 6624011, that added together give a palindrome (7728277).

The spelling of 11042666624011 in words is "eleven trillion, forty-two billion, six hundred sixty-six million, six hundred twenty-four thousand, eleven".