165216655710117 has 64 divisors (see below), whose sum is σ = 267178566251520. Its totient is φ = 100070665992000.

The previous prime is 165216655710031. The next prime is 165216655710131. The reversal of 165216655710117 is 711017556612561.

165216655710117 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 1 + 6 + 65 + 571 + 0 + 1 + 1 + 7 = 666.

It is not a de Polignac number, because 165216655710117 - 2¹² = 165216655706021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165216655710187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5016734383 + ... + 5016767315.

It is an arithmetic number, because the mean of its divisors is an integer number (4174665097680).

Almost surely, 2^{165216655710117} is an apocalyptic number.

It is an amenable number.

165216655710117 is a deficient number, since it is larger than the sum of its proper divisors (101961910541403).

165216655710117 is a wasteful number, since it uses less digits than its factorization.

165216655710117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42671 (or 42665 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 54.

The spelling of 165216655710117 in words is "one hundred sixty-five trillion, two hundred sixteen billion, six hundred fifty-five million, seven hundred ten thousand, one hundred seventeen".