268948046736 has 200 divisors, whose sum is σ = 801150223104. Its totient is φ = 87041122560.

The previous prime is 268948046723. The next prime is 268948046743. The reversal of 268948046736 is 637640849862.

268948046736 is a `hidden beast` number, since 2 + 6 + 8 + 94 + 80 + 467 + 3 + 6 = 666.

268948046736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 23538721 + ... + 23550143.

Almost surely, 2^268948046736 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 268948046736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400575111552).

268948046736 is an abundant number, since it is smaller than the sum of its proper divisors (532202176368).

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

268948046736 is a wasteful number, since it uses less digits than its factorization.

268948046736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11971 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 268948046736 in words is "two hundred sixty-eight billion, nine hundred forty-eight million, forty-six thousand, seven hundred thirty-six".