268131788856 has 192 divisors, whose sum is σ = 787693870080. Its totient is φ = 82086359040.

The previous prime is 268131788797. The next prime is 268131788863. The reversal of 268131788856 is 658887131862.

268131788856 is a `hidden beast` number, since 268 + 1 + 317 + 8 + 8 + 8 + 56 = 666.

268131788856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 268131788793 and 268131788802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9468190 + ... + 9496466.

It is an arithmetic number, because the mean of its divisors is an integer number (4102572240).

Almost surely, 2^268131788856 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 268131788856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393846935040).

268131788856 is an abundant number, since it is smaller than the sum of its proper divisors (519562081224).

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

268131788856 is a wasteful number, since it uses less digits than its factorization.

268131788856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28494 (or 28487 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 268131788856 in words is "two hundred sixty-eight billion, one hundred thirty-one million, seven hundred eighty-eight thousand, eight hundred fifty-six".