11664303306165 has 48 divisors (see below), whose sum is σ = 21067969244400. Its totient is φ = 5962603078656.

The previous prime is 11664303306091. The next prime is 11664303306167. The reversal of 11664303306165 is 56160330346611.

11664303306165 is a `hidden beast` number, since 1 + 166 + 43 + 0 + 330 + 61 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 990504648081 + 10673798658084 = 995241^2 + 3267078^2 .

It is not a de Polignac number, because 11664303306165 - 2¹⁰ = 11664303305141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11664303306165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11664303306167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32442250 + ... + 32799819.

It is an arithmetic number, because the mean of its divisors is an integer number (438916025925).

Almost surely, 2^{11664303306165} is an apocalyptic number.

11664303306165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11664303306165 is a deficient number, since it is larger than the sum of its proper divisors (9403665938235).

11664303306165 is a wasteful number, since it uses less digits than its factorization.

11664303306165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65242246 (or 65242243 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 11664303306165 in words is "eleven trillion, six hundred sixty-four billion, three hundred three million, three hundred six thousand, one hundred sixty-five".