11327633672311 has 16 divisors (see below), whose sum is σ = 12371677920000. Its totient is φ = 10285967476800.

The previous prime is 11327633672263. The next prime is 11327633672323.

11327633672311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11327633672311 - 2⁹ = 11327633671799 is a prime.

It is a super-2 number, since 2×11327633672311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11327633672371) 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 15 ways as a sum of consecutive naturals, for example, 217307331 + ... + 217359451.

It is an arithmetic number, because the mean of its divisors is an integer number (773229870000).

Almost surely, 2^{11327633672311} is an apocalyptic number.

11327633672311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11327633672311 is a deficient number, since it is larger than the sum of its proper divisors (1044044247689).

11327633672311 is a wasteful number, since it uses less digits than its factorization.

11327633672311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74550.

The product of its digits is 571536, while the sum is 46.

The spelling of 11327633672311 in words is "eleven trillion, three hundred twenty-seven billion, six hundred thirty-three million, six hundred seventy-two thousand, three hundred eleven".