82664866846628 has 24 divisors (see below), whose sum is σ = 166120785052320. Its totient is φ = 35597311081920.

The previous prime is 82664866846619. The next prime is 82664866846631.

82664866846628 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (80) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49440709001 + ... + 49440710672.

It is an arithmetic number, because the mean of its divisors is an integer number (6921699377180).

Almost surely, 2^{82664866846628} is an apocalyptic number.

It is an amenable number.

82664866846628 is an abundant number, since it is smaller than the sum of its proper divisors (83455918205692).

82664866846628 is a wasteful number, since it uses less digits than its factorization.

82664866846628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98881419707 (or 98881419705 counting only the distinct ones).

The product of its digits is 12230590464, while the sum is 80.

The spelling of 82664866846628 in words is "eighty-two trillion, six hundred sixty-four billion, eight hundred sixty-six million, eight hundred forty-six thousand, six hundred twenty-eight".