11200166141 has 16 divisors (see below), whose sum is σ = 11737544880. Its totient is φ = 10676551680.

The previous prime is 11200166063. The next prime is 11200166143. The reversal of 11200166141 is 14166100211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30846916 + 11169319225 = 5554^2 + 105685^2 .

It is a cyclic number.

It is not a de Polignac number, because 11200166141 - 2¹⁰ = 11200165117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200166143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570395 + ... + 589703.

It is an arithmetic number, because the mean of its divisors is an integer number (733596555).

Almost surely, 2^11200166141 is an apocalyptic number.

It is an amenable number.

11200166141 is a deficient number, since it is larger than the sum of its proper divisors (537378739).

11200166141 is a wasteful number, since it uses less digits than its factorization.

11200166141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19664.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 11200166141 its reverse (14166100211), we get a palindrome (25366266352).

The spelling of 11200166141 in words is "eleven billion, two hundred million, one hundred sixty-six thousand, one hundred forty-one".