268069096656 has 120 divisors (see below), whose sum is σ = 789871940000. Its totient is φ = 84635663616.

The previous prime is 268069096639. The next prime is 268069096721. The reversal of 268069096656 is 656690960862.

268069096656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268069096656² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268069096593 and 268069096602.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20647575 + ... + 20660553.

Almost surely, 2^268069096656 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 268069096656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394935970000).

268069096656 is an abundant number, since it is smaller than the sum of its proper divisors (521802843344).

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

268069096656 is a wasteful number, since it uses less digits than its factorization.

268069096656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20561 (or 20552 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 268069096656 in words is "two hundred sixty-eight billion, sixty-nine million, ninety-six thousand, six hundred fifty-six".