82448217028617 has 96 divisors (see below), whose sum is σ = 125944735593600. Its totient is φ = 47910520120320.

The previous prime is 82448217028601. The next prime is 82448217028621. The reversal of 82448217028617 is 71682071284428.

It is not a de Polignac number, because 82448217028617 - 2⁴ = 82448217028601 is a prime.

It is a super-3 number, since 3×82448217028617³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82448217023617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152815434 + ... + 153354012.

It is an arithmetic number, because the mean of its divisors is an integer number (1311924329100).

Almost surely, 2^{82448217028617} is an apocalyptic number.

It is an amenable number.

82448217028617 is a deficient number, since it is larger than the sum of its proper divisors (43496518564983).

82448217028617 is a wasteful number, since it uses less digits than its factorization.

82448217028617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538839 (or 538828 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 60.

The spelling of 82448217028617 in words is "eighty-two trillion, four hundred forty-eight billion, two hundred seventeen million, twenty-eight thousand, six hundred seventeen".