11144233665205 has 128 divisors (see below), whose sum is σ = 14460687876096. Its totient is φ = 8229382272000.

The previous prime is 11144233665161. The next prime is 11144233665217. The reversal of 11144233665205 is 50256633244111.

It is a de Polignac number, because none of the positive numbers 2^k-11144233665205 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 38034927039 + ... + 38034927331.

It is an arithmetic number, because the mean of its divisors is an integer number (112974124032).

Almost surely, 2^{11144233665205} is an apocalyptic number.

It is an amenable number.

11144233665205 is a deficient number, since it is larger than the sum of its proper divisors (3316454210891).

11144233665205 is a wasteful number, since it uses less digits than its factorization.

11144233665205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947.

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 11144233665205 in words is "eleven trillion, one hundred forty-four billion, two hundred thirty-three million, six hundred sixty-five thousand, two hundred five".