268557814656 has 224 divisors, whose sum is σ = 844383815400. Its totient is φ = 84807171072.

The previous prime is 268557814649. The next prime is 268557814717. The reversal of 268557814656 is 656418755862.

268557814656 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 578 + 1 + 4 + 6 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 268557814593 and 268557814602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1697190 + ... + 1848666.

Almost surely, 2^268557814656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268557814656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422191907700).

268557814656 is an abundant number, since it is smaller than the sum of its proper divisors (575826000744).

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

268557814656 is an equidigital number, since it uses as much as digits as its factorization.

268557814656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151528 (or 151501 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 268557814656 in words is "two hundred sixty-eight billion, five hundred fifty-seven million, eight hundred fourteen thousand, six hundred fifty-six".