86222856512 has 112 divisors (see below), whose sum is σ = 195547640400. Its totient is φ = 37368102912.

The previous prime is 86222856509. The next prime is 86222856547. The reversal of 86222856512 is 21565822268.

It can be written as a sum of positive squares in 8 ways, for example, as 7854213376 + 78368643136 = 88624^2 + 279944^2 .

It is a super-2 number, since 2×86222856512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6343868 + ... + 6357444.

It is an arithmetic number, because the mean of its divisors is an integer number (1745961075).

Almost surely, 2^86222856512 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 86222856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97773820200).

86222856512 is an abundant number, since it is smaller than the sum of its proper divisors (109324783888).

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

86222856512 is a wasteful number, since it uses less digits than its factorization.

86222856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14068 (or 14058 counting only the distinct ones).

The product of its digits is 921600, while the sum is 47.

The spelling of 86222856512 in words is "eighty-six billion, two hundred twenty-two million, eight hundred fifty-six thousand, five hundred twelve".