2166729383817 has 24 divisors (see below), whose sum is σ = 3167780616000. Its totient is φ = 1426923799008.

The previous prime is 2166729383807. The next prime is 2166729383827. The reversal of 2166729383817 is 7183839276612.

2166729383817 is a `hidden beast` number, since 2 + 166 + 7 + 2 + 93 + 8 + 381 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (2166729383807) and next prime (2166729383827).

It is not a de Polignac number, because 2166729383817 - 2¹⁵ = 2166729351049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2166729383807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6744559 + ... + 7058507.

It is an arithmetic number, because the mean of its divisors is an integer number (131990859000).

Almost surely, 2^{2166729383817} is an apocalyptic number.

It is an amenable number.

2166729383817 is a deficient number, since it is larger than the sum of its proper divisors (1001051232183).

2166729383817 is a wasteful number, since it uses less digits than its factorization.

2166729383817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323277 (or 323274 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 2166729383817 in words is "two trillion, one hundred sixty-six billion, seven hundred twenty-nine million, three hundred eighty-three thousand, eight hundred seventeen".