86222822268 has 144 divisors (see below), whose sum is σ = 223339898880. Its totient is φ = 25869360000.

The previous prime is 86222822267. The next prime is 86222822281.

86222822268 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86222822261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105021298 + ... + 105022118.

It is an arithmetic number, because the mean of its divisors is an integer number (1550971520).

Almost surely, 2^86222822268 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 86222822268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111669949440).

86222822268 is an abundant number, since it is smaller than the sum of its proper divisors (137117076612).

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

86222822268 is a wasteful number, since it uses less digits than its factorization.

86222822268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1467 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 86222822268 in words is "eighty-six billion, two hundred twenty-two million, eight hundred twenty-two thousand, two hundred sixty-eight".