11361166165 has 16 divisors (see below), whose sum is σ = 14005488240. Its totient is φ = 8841000960.

The previous prime is 11361166163. The next prime is 11361166169. The reversal of 11361166165 is 56166116311.

11361166165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1839895236 + 9521270929 = 42894^2 + 97577^2 .

It is not a de Polignac number, because 11361166165 - 2¹ = 11361166163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11361166163) 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 15 ways as a sum of consecutive naturals, for example, 1232875 + ... + 1242055.

It is an arithmetic number, because the mean of its divisors is an integer number (875343015).

Almost surely, 2^11361166165 is an apocalyptic number.

It is an amenable number.

11361166165 is a deficient number, since it is larger than the sum of its proper divisors (2644322075).

11361166165 is an equidigital number, since it uses as much as digits as its factorization.

11361166165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15912.

The product of its digits is 19440, while the sum is 37.

It can be divided in two parts, 113611 and 66165, that added together give a square (179776 = 424²).

The spelling of 11361166165 in words is "eleven billion, three hundred sixty-one million, one hundred sixty-six thousand, one hundred sixty-five".