82770646367345 has 8 divisors (see below), whose sum is σ = 99540230688360. Its totient is φ = 66072880395520.

The previous prime is 82770646367309. The next prime is 82770646367351. The reversal of 82770646367345 is 54376364607728.

It can be written as a sum of positive squares in 4 ways, for example, as 4339218120241 + 78431428247104 = 2083079^2 + 8856152^2 .

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

It is not a de Polignac number, because 82770646367345 - 2²⁰ = 82770645318769 is a prime.

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, 17954584760 + ... + 17954589369.

It is an arithmetic number, because the mean of its divisors is an integer number (12442528836045).

Almost surely, 2^{82770646367345} is an apocalyptic number.

It is an amenable number.

82770646367345 is a deficient number, since it is larger than the sum of its proper divisors (16769584321015).

82770646367345 is a wasteful number, since it uses less digits than its factorization.

82770646367345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35909174595.

The product of its (nonzero) digits is 853493760, while the sum is 68.

The spelling of 82770646367345 in words is "eighty-two trillion, seven hundred seventy billion, six hundred forty-six million, three hundred sixty-seven thousand, three hundred forty-five".