861426624168 has 128 divisors (see below), whose sum is σ = 2634332976000. Its totient is φ = 258643445760.

The previous prime is 861426624119. The next prime is 861426624173.

861426624168 is a `hidden beast` number, since 8 + 6 + 1 + 4 + 2 + 6 + 624 + 1 + 6 + 8 = 666.

861426624168 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 1404105 + ... + 1922072.

It is an arithmetic number, because the mean of its divisors is an integer number (20580726375).

Almost surely, 2^861426624168 is an apocalyptic number.

861426624168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

861426624168 is an abundant number, since it is smaller than the sum of its proper divisors (1772906351832).

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

861426624168 is a wasteful number, since it uses less digits than its factorization.

861426624168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326312 (or 3326302 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 861426624168 in words is "eight hundred sixty-one billion, four hundred twenty-six million, six hundred twenty-four thousand, one hundred sixty-eight".