2165633310667 has 16 divisors (see below), whose sum is σ = 2282337426240. Its totient is φ = 2050811136000.

The previous prime is 2165633310641. The next prime is 2165633310787. The reversal of 2165633310667 is 7660133365612.

It is a cyclic number.

It is not a de Polignac number, because 2165633310667 - 2¹⁹ = 2165632786379 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2165633310667.

It is not an unprimeable number, because it can be changed into a prime (2165633310637) 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, 41232559 + ... + 41285047.

It is an arithmetic number, because the mean of its divisors is an integer number (142646089140).

Almost surely, 2^{2165633310667} is an apocalyptic number.

2165633310667 is a deficient number, since it is larger than the sum of its proper divisors (116704115573).

2165633310667 is a wasteful number, since it uses less digits than its factorization.

2165633310667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70374.

The product of its (nonzero) digits is 2449440, while the sum is 49.

Subtracting 2165633310667 from its reverse (7660133365612), we obtain a palindrome (5494500054945).

The spelling of 2165633310667 in words is "two trillion, one hundred sixty-five billion, six hundred thirty-three million, three hundred ten thousand, six hundred sixty-seven".