82243605312047 has 4 divisors (see below), whose sum is σ = 82247983017816. Its totient is φ = 82239227606280.

The previous prime is 82243605311999. The next prime is 82243605312083. The reversal of 82243605312047 is 74021350634228.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82243605312047 is a prime.

It is a super-2 number, since 2×82243605312047² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82243605311992 and 82243605312010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82243605332047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2188824704 + ... + 2188862277.

It is an arithmetic number, because the mean of its divisors is an integer number (20561995754454).

Almost surely, 2^{82243605312047} is an apocalyptic number.

82243605312047 is a deficient number, since it is larger than the sum of its proper divisors (4377705769).

82243605312047 is a wasteful number, since it uses less digits than its factorization.

82243605312047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377705768.

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 82243605312047 in words is "eighty-two trillion, two hundred forty-three billion, six hundred five million, three hundred twelve thousand, forty-seven".