268209548350656 has 336 divisors, whose sum is σ = 799229485591680. Its totient is φ = 78682623344640.

The previous prime is 268209548350609. The next prime is 268209548350663. The reversal of 268209548350656 is 656053845902862.

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, 1159513860 + ... + 1159745148.

Almost surely, 2^{268209548350656} 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 268209548350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399614742795840).

268209548350656 is an abundant number, since it is smaller than the sum of its proper divisors (531019937241024).

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

268209548350656 is a wasteful number, since it uses less digits than its factorization.

268209548350656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231584 (or 231461 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 69.

The spelling of 268209548350656 in words is "two hundred sixty-eight trillion, two hundred nine billion, five hundred forty-eight million, three hundred fifty thousand, six hundred fifty-six".