86668424464 has 80 divisors (see below), whose sum is σ = 177562885248. Its totient is φ = 40898727936.

The previous prime is 86668424459. The next prime is 86668424467. The reversal of 86668424464 is 46442486668.

It is a super-2 number, since 2×86668424464² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86668424399 and 86668424408.

It is not an unprimeable number, because it can be changed into a prime (86668424467) 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 15 ways as a sum of consecutive naturals, for example, 12383014 + ... + 12390010.

Almost surely, 2^86668424464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86668424464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88781442624).

86668424464 is an abundant number, since it is smaller than the sum of its proper divisors (90894460784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86668424464 is a wasteful number, since it uses less digits than its factorization.

86668424464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7472 (or 7466 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 58.

The spelling of 86668424464 in words is "eighty-six billion, six hundred sixty-eight million, four hundred twenty-four thousand, four hundred sixty-four".