268872256224 has 1152 divisors, whose sum is σ = 1008058867200. Its totient is φ = 68836884480.

The previous prime is 268872256193. The next prime is 268872256291. The reversal of 268872256224 is 422652278862.

It is a happy number.

268872256224 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 7 + 2 + 2 + 5 + 622 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1174114542 + ... + 1174114770.

It is an arithmetic number, because the mean of its divisors is an integer number (875051100).

Almost surely, 2^268872256224 is an apocalyptic number.

268872256224 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 268872256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504029433600).

268872256224 is an abundant number, since it is smaller than the sum of its proper divisors (739186610976).

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

268872256224 is a wasteful number, since it uses less digits than its factorization.

268872256224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 318 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 268872256224 in words is "two hundred sixty-eight billion, eight hundred seventy-two million, two hundred fifty-six thousand, two hundred twenty-four".