82339562866817 has 16 divisors (see below), whose sum is σ = 84205293849600. Its totient is φ = 80478585815040.

The previous prime is 82339562866793. The next prime is 82339562866819. The reversal of 82339562866817 is 71866826593328.

It is a cyclic number.

It is not a de Polignac number, because 82339562866817 - 2²² = 82339558672513 is a prime.

It is a super-2 number, since 2×82339562866817² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82339562866819) 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 15 ways as a sum of consecutive naturals, for example, 842480609 + ... + 842578337.

It is an arithmetic number, because the mean of its divisors is an integer number (5262830865600).

Almost surely, 2^{82339562866817} is an apocalyptic number.

It is an amenable number.

82339562866817 is a deficient number, since it is larger than the sum of its proper divisors (1865730982783).

82339562866817 is a wasteful number, since it uses less digits than its factorization.

82339562866817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121856.

The product of its digits is 1254113280, while the sum is 74.

The spelling of 82339562866817 in words is "eighty-two trillion, three hundred thirty-nine billion, five hundred sixty-two million, eight hundred sixty-six thousand, eight hundred seventeen".