82636614128817 has 18 divisors (see below), whose sum is σ = 138851997890658. Its totient is φ = 47220922359072.

The previous prime is 82636614128773. The next prime is 82636614128819. The reversal of 82636614128817 is 71882141663628.

82636614128817 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 6 + 614 + 1 + 2 + 8 + 8 + 1 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82539114690816 + 97499438001 = 9085104^2 + 312249^2 .

It is not a de Polignac number, because 82636614128817 - 2¹² = 82636614124721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82636614128819) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93692305828 + ... + 93692306709.

Almost surely, 2^{82636614128817} is an apocalyptic number.

It is an amenable number.

82636614128817 is a deficient number, since it is larger than the sum of its proper divisors (56215383761841).

82636614128817 is a wasteful number, since it uses less digits than its factorization.

82636614128817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187384612557 (or 187384612547 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 82636614128817 in words is "eighty-two trillion, six hundred thirty-six billion, six hundred fourteen million, one hundred twenty-eight thousand, eight hundred seventeen".