268358956096 has 224 divisors, whose sum is σ = 699725214720. Its totient is φ = 98931456000.

The previous prime is 268358956087. The next prime is 268358956109. The reversal of 268358956096 is 690659853862.

268358956096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×268358956096³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 121814131 + ... + 121816333.

It is an arithmetic number, because the mean of its divisors is an integer number (3123773280).

Almost surely, 2^268358956096 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 268358956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349862607360).

268358956096 is an abundant number, since it is smaller than the sum of its proper divisors (431366258624).

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

268358956096 is a wasteful number, since it uses less digits than its factorization.

268358956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 67.

The spelling of 268358956096 in words is "two hundred sixty-eight billion, three hundred fifty-eight million, nine hundred fifty-six thousand, ninety-six".