2165071616667 has 24 divisors (see below), whose sum is σ = 3129673171248. Its totient is φ = 1442298052800.

The previous prime is 2165071616651. The next prime is 2165071616671. The reversal of 2165071616667 is 7666161705612.

It is a happy number.

It is not a de Polignac number, because 2165071616667 - 2⁴ = 2165071616651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2165071616767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70067473 + ... + 70098365.

It is an arithmetic number, because the mean of its divisors is an integer number (130403048802).

Almost surely, 2^{2165071616667} is an apocalyptic number.

2165071616667 is a deficient number, since it is larger than the sum of its proper divisors (964601554581).

2165071616667 is a wasteful number, since it uses less digits than its factorization.

2165071616667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36491 (or 36488 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 2165071616667 in words is "two trillion, one hundred sixty-five billion, seventy-one million, six hundred sixteen thousand, six hundred sixty-seven".