268888362068832 has 96 divisors (see below), whose sum is σ = 770012574428160. Its totient is φ = 81479831569920.

The previous prime is 268888362068813. The next prime is 268888362068917. The reversal of 268888362068832 is 238860263888862.

268888362068832 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 (96).

It is a super-2 number, since 2×268888362068832² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56130769 + ... + 60732527.

It is an arithmetic number, because the mean of its divisors is an integer number (8020964316960).

Almost surely, 2^{268888362068832} is an apocalyptic number.

268888362068832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268888362068832 is an abundant number, since it is smaller than the sum of its proper divisors (501124212359328).

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

268888362068832 is a wasteful number, since it uses less digits than its factorization.

268888362068832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657116 (or 4657108 counting only the distinct ones).

The product of its (nonzero) digits is 4076863488, while the sum is 78.

The spelling of 268888362068832 in words is "two hundred sixty-eight trillion, eight hundred eighty-eight billion, three hundred sixty-two million, sixty-eight thousand, eight hundred thirty-two".