268914419862 has 96 divisors (see below), whose sum is σ = 626454259200. Its totient is φ = 76632948480.

The previous prime is 268914419797. The next prime is 268914419863.

It is a happy number.

268914419862 is nontrivially palindromic in base 10.

268914419862 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 268914419796 and 268914419805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268914419863) 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 47 ways as a sum of consecutive naturals, for example, 16270839 + ... + 16287357.

It is an arithmetic number, because the mean of its divisors is an integer number (6525565200).

Almost surely, 2^268914419862 is an apocalyptic number.

268914419862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268914419862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313227129600).

268914419862 is an abundant number, since it is smaller than the sum of its proper divisors (357539839338).

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

268914419862 is a wasteful number, since it uses less digits than its factorization.

268914419862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17882 (or 17871 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 60.

The spelling of 268914419862 in words is "two hundred sixty-eight billion, nine hundred fourteen million, four hundred nineteen thousand, eight hundred sixty-two".