268294032216 has 128 divisors (see below), whose sum is σ = 854449766400. Its totient is φ = 76410397440.

The previous prime is 268294032211. The next prime is 268294032217. The reversal of 268294032216 is 612230492862.

268294032216 is a `hidden beast` number, since 2 + 6 + 8 + 29 + 403 + 2 + 216 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268294032211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189801 + ... + 756711.

It is an arithmetic number, because the mean of its divisors is an integer number (6675388800).

Almost surely, 2^268294032216 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 268294032216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427224883200).

268294032216 is an abundant number, since it is smaller than the sum of its proper divisors (586155734184).

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

268294032216 is a wasteful number, since it uses less digits than its factorization.

268294032216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567246 (or 567236 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 268294032216 in words is "two hundred sixty-eight billion, two hundred ninety-four million, thirty-two thousand, two hundred sixteen".