165360016766817 has 24 divisors (see below), whose sum is σ = 242769871067880. Its totient is φ = 108432402727680.

The previous prime is 165360016766801. The next prime is 165360016766887. The reversal of 165360016766817 is 718667610063561.

It is a happy number.

165360016766817 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 600 + 1 + 6 + 7 + 6 + 6 + 8 + 17 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2808838569681 + 162551178197136 = 1675959^2 + 12749556^2 .

It is not a de Polignac number, because 165360016766817 - 2⁴ = 165360016766801 is a prime.

It is a super-2 number, since 2×165360016766817² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165360016766887) 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, 299867773 + ... + 300418709.

It is an arithmetic number, because the mean of its divisors is an integer number (10115411294495).

Almost surely, 2^{165360016766817} is an apocalyptic number.

It is an amenable number.

165360016766817 is a deficient number, since it is larger than the sum of its proper divisors (77409854301063).

165360016766817 is a wasteful number, since it uses less digits than its factorization.

165360016766817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097713 (or 1097710 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 165360016766817 in words is "one hundred sixty-five trillion, three hundred sixty billion, sixteen million, seven hundred sixty-six thousand, eight hundred seventeen".