84271583017017 has 96 divisors (see below), whose sum is σ = 138804116935680. Its totient is φ = 50488418534400.

The previous prime is 84271583016991. The next prime is 84271583017019. The reversal of 84271583017017 is 71071038517248.

84271583017017 is a `hidden beast` number, since 8 + 4 + 271 + 58 + 301 + 7 + 0 + 17 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-84271583017017 is a prime.

It is a super-2 number, since 2×84271583017017² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84271583017019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273329767 + ... + 273637907.

It is an arithmetic number, because the mean of its divisors is an integer number (1445876218080).

Almost surely, 2^{84271583017017} is an apocalyptic number.

It is an amenable number.

84271583017017 is a deficient number, since it is larger than the sum of its proper divisors (54532533918663).

84271583017017 is a wasteful number, since it uses less digits than its factorization.

84271583017017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309132 (or 309115 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 84271583017017 in words is "eighty-four trillion, two hundred seventy-one billion, five hundred eighty-three million, seventeen thousand, seventeen".