82705064173242 has 64 divisors (see below), whose sum is σ = 190440541670400. Its totient is φ = 23455041096960.

The previous prime is 82705064173187. The next prime is 82705064173267. The reversal of 82705064173242 is 24237146050728.

82705064173242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×82705064173242³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26060809 + ... + 29061587.

It is an arithmetic number, because the mean of its divisors is an integer number (2975633463600).

Almost surely, 2^{82705064173242} is an apocalyptic number.

82705064173242 is an abundant number, since it is smaller than the sum of its proper divisors (107735477497158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82705064173242 is a wasteful number, since it uses less digits than its factorization.

82705064173242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005651.

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 82705064173242 in words is "eighty-two trillion, seven hundred five billion, sixty-four million, one hundred seventy-three thousand, two hundred forty-two".