86322222222368 has 192 divisors, whose sum is σ = 190155885244416. Its totient is φ = 38242616832000.

The previous prime is 86322222222347. The next prime is 86322222222389.

86322222222368 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (86322222222347) and next prime (86322222222389).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2238801746 + ... + 2238840302.

It is an arithmetic number, because the mean of its divisors is an integer number (990395235648).

Almost surely, 2^{86322222222368} is an apocalyptic number.

86322222222368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86322222222368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95077942622208).

86322222222368 is an abundant number, since it is smaller than the sum of its proper divisors (103833663022048).

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

86322222222368 is a wasteful number, since it uses less digits than its factorization.

86322222222368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39587 (or 39579 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 50.

The spelling of 86322222222368 in words is "eighty-six trillion, three hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred sixty-eight".