82668288645671 has 64 divisors (see below), whose sum is σ = 90934999474176. Its totient is φ = 74938822358400.

The previous prime is 82668288645661. The next prime is 82668288645737. The reversal of 82668288645671 is 17654688286628.

It is a cyclic number.

It is not a de Polignac number, because 82668288645671 - 2⁴⁶ = 12299544468007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82668288645592 and 82668288645601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82668288645661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5255111876 + ... + 5255127606.

It is an arithmetic number, because the mean of its divisors is an integer number (1420859366784).

Almost surely, 2^{82668288645671} is an apocalyptic number.

82668288645671 is a deficient number, since it is larger than the sum of its proper divisors (8266710828505).

82668288645671 is a wasteful number, since it uses less digits than its factorization.

82668288645671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17052.

The product of its digits is 2972712960, while the sum is 77.

The spelling of 82668288645671 in words is "eighty-two trillion, six hundred sixty-eight billion, two hundred eighty-eight million, six hundred forty-five thousand, six hundred seventy-one".