82466449858816 has 27 divisors (see below), whose sum is σ = 164611055176141. Its totient is φ = 41233152280576.

The previous prime is 82466449858811. The next prime is 82466449858829. The reversal of 82466449858816 is 61885894466428.

The square root of 82466449858816 is 9081104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75337122652416 + 7129327206400 = 8679696^2 + 2670080^2 .

It is a super-2 number, since 2×82466449858816² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82466449858811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 145013880 + ... + 145581448.

Almost surely, 2^{82466449858816} is an apocalyptic number.

82466449858816 is the 9081104-th square number.

It is an amenable number.

82466449858816 is a deficient number, since it is larger than the sum of its proper divisors (82144605317325).

82466449858816 is an frugal number, since it uses more digits than its factorization.

82466449858816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135154 (or 567571 counting only the distinct ones).

The product of its digits is 5096079360, while the sum is 79.

The spelling of 82466449858816 in words is "eighty-two trillion, four hundred sixty-six billion, four hundred forty-nine million, eight hundred fifty-eight thousand, eight hundred sixteen".