86182044816 has 320 divisors, whose sum is σ = 279856373760. Its totient is φ = 22293381120.

The previous prime is 86182044779. The next prime is 86182044889. The reversal of 86182044816 is 61844028168.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15836656 + ... + 15842096.

It is an arithmetic number, because the mean of its divisors is an integer number (874551168).

Almost surely, 2^86182044816 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 86182044816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139928186880).

86182044816 is an abundant number, since it is smaller than the sum of its proper divisors (193674328944).

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

86182044816 is a wasteful number, since it uses less digits than its factorization.

86182044816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 86182044816 in words is "eighty-six billion, one hundred eighty-two million, forty-four thousand, eight hundred sixteen".