86216380317 has 48 divisors (see below), whose sum is σ = 132851601792. Its totient is φ = 55833935040.

The previous prime is 86216380309. The next prime is 86216380441. The reversal of 86216380317 is 71308361268.

86216380317 is a `hidden beast` number, since 8 + 6 + 2 + 1 + 638 + 0 + 3 + 1 + 7 = 666.

It is not a de Polignac number, because 86216380317 - 2³ = 86216380309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86216380517) 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 47 ways as a sum of consecutive naturals, for example, 5809767 + ... + 5824587.

It is an arithmetic number, because the mean of its divisors is an integer number (2767741704).

Almost surely, 2^86216380317 is an apocalyptic number.

It is an amenable number.

86216380317 is a deficient number, since it is larger than the sum of its proper divisors (46635221475).

86216380317 is a wasteful number, since it uses less digits than its factorization.

86216380317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 86216380317 in words is "eighty-six billion, two hundred sixteen million, three hundred eighty thousand, three hundred seventeen".