82444768171877 has 8 divisors (see below), whose sum is σ = 82807129955160. Its totient is φ = 82082820282880.

The previous prime is 82444768171867. The next prime is 82444768171937. The reversal of 82444768171877 is 77817186744428.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2297046391201 + 80147721780676 = 1515601^2 + 8952526^2 .

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 82444768171877 - 2⁸ = 82444768171621 is a prime.

It is a super-2 number, since 2×82444768171877² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82444768171867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103074308 + ... + 103871085.

It is an arithmetic number, because the mean of its divisors is an integer number (10350891244395).

Almost surely, 2^{82444768171877} is an apocalyptic number.

It is an amenable number.

82444768171877 is a deficient number, since it is larger than the sum of its proper divisors (362361783283).

82444768171877 is a wasteful number, since it uses less digits than its factorization.

82444768171877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206947143.

The product of its digits is 944111616, while the sum is 74.

The spelling of 82444768171877 in words is "eighty-two trillion, four hundred forty-four billion, seven hundred sixty-eight million, one hundred seventy-one thousand, eight hundred seventy-seven".