861232232168 has 128 divisors (see below), whose sum is σ = 2027996006400. Its totient is φ = 333097401600.

The previous prime is 861232232167. The next prime is 861232232173.

It is a happy number.

861232232168 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (861232232167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65441573 + ... + 65454731.

It is an arithmetic number, because the mean of its divisors is an integer number (15843718800).

Almost surely, 2^861232232168 is an apocalyptic number.

861232232168 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 861232232168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013998003200).

861232232168 is an abundant number, since it is smaller than the sum of its proper divisors (1166763774232).

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

861232232168 is a wasteful number, since it uses less digits than its factorization.

861232232168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951 (or 13947 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The spelling of 861232232168 in words is "eight hundred sixty-one billion, two hundred thirty-two million, two hundred thirty-two thousand, one hundred sixty-eight".