82606450689 has 24 divisors (see below), whose sum is σ = 143543375040. Its totient is φ = 44719280928.

The previous prime is 82606450687. The next prime is 82606450697. The reversal of 82606450689 is 98605460628.

It is a happy number.

It is not a de Polignac number, because 82606450689 - 2¹ = 82606450687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82606450687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34504422 + ... + 34506815.

It is an arithmetic number, because the mean of its divisors is an integer number (5980973960).

Almost surely, 2^82606450689 is an apocalyptic number.

It is an amenable number.

82606450689 is a deficient number, since it is larger than the sum of its proper divisors (60936924351).

82606450689 is a wasteful number, since it uses less digits than its factorization.

82606450689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69011269 (or 69011266 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 82606450689 in words is "eighty-two billion, six hundred six million, four hundred fifty thousand, six hundred eighty-nine".