86741814768 has 160 divisors (see below), whose sum is σ = 269727498240. Its totient is φ = 23465583360.

The previous prime is 86741814721. The next prime is 86741814823.

86741814768 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17049121 + ... + 17054207.

It is an arithmetic number, because the mean of its divisors is an integer number (1685796864).

Almost surely, 2^86741814768 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 86741814768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134863749120).

86741814768 is an abundant number, since it is smaller than the sum of its proper divisors (182985683472).

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

86741814768 is a wasteful number, since it uses less digits than its factorization.

86741814768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795 (or 7789 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 60.

The spelling of 86741814768 in words is "eighty-six billion, seven hundred forty-one million, eight hundred fourteen thousand, seven hundred sixty-eight".