82705168345 has 8 divisors (see below), whose sum is σ = 99266069376. Its totient is φ = 66150889776.

The previous prime is 82705168331. The next prime is 82705168349. The reversal of 82705168345 is 54386150728.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82705168345 - 2⁹ = 82705167833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82705168349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1628097 + ... + 1678126.

It is an arithmetic number, because the mean of its divisors is an integer number (12408258672).

Almost surely, 2^82705168345 is an apocalyptic number.

It is an amenable number.

82705168345 is a deficient number, since it is larger than the sum of its proper divisors (16560901031).

82705168345 is a wasteful number, since it uses less digits than its factorization.

82705168345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311231.

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 82705168345 in words is "eighty-two billion, seven hundred five million, one hundred sixty-eight thousand, three hundred forty-five".