268854362277688 has 96 divisors (see below), whose sum is σ = 554786068294080. Its totient is φ = 122054265132800.

The previous prime is 268854362277671. The next prime is 268854362277703. The reversal of 268854362277688 is 886772263458862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7263763470 + ... + 7263800482.

It is an arithmetic number, because the mean of its divisors is an integer number (5779021544730).

Almost surely, 2^{268854362277688} 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 268854362277688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277393034147040).

268854362277688 is an abundant number, since it is smaller than the sum of its proper divisors (285931706016392).

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

268854362277688 is a wasteful number, since it uses less digits than its factorization.

268854362277688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46189 (or 46174 counting only the distinct ones).

The product of its digits is 20808990720, while the sum is 82.

The spelling of 268854362277688 in words is "two hundred sixty-eight trillion, eight hundred fifty-four billion, three hundred sixty-two million, two hundred seventy-seven thousand, six hundred eighty-eight".