268889782224 has 480 divisors, whose sum is σ = 859270896000. Its totient is φ = 72132415488.

The previous prime is 268889782223. The next prime is 268889782241. The reversal of 268889782224 is 422287988862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268889782223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438645342 + ... + 438645954.

It is an arithmetic number, because the mean of its divisors is an integer number (1790147700).

Almost surely, 2^268889782224 is an apocalyptic number.

268889782224 is a gapful number since it is divisible by the number (24) 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 268889782224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429635448000).

268889782224 is an abundant number, since it is smaller than the sum of its proper divisors (590381113776).

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

268889782224 is a wasteful number, since it uses less digits than its factorization.

268889782224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 822 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 66.

The spelling of 268889782224 in words is "two hundred sixty-eight billion, eight hundred eighty-nine million, seven hundred eighty-two thousand, two hundred twenty-four".