268228317312 has 72 divisors (see below), whose sum is σ = 771905510415. Its totient is φ = 89403579648.

The previous prime is 268228317311. The next prime is 268228317361. The reversal of 268228317312 is 213713822862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 134114158656 + 134114158656 = 366216^2 + 366216^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=366216.

It is not an unprimeable number, because it can be changed into a prime (268228317311) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17570739 + ... + 17585997.

Almost surely, 2^268228317312 is an apocalyptic number.

It is an amenable number.

268228317312 is an abundant number, since it is smaller than the sum of its proper divisors (503677193103).

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

268228317312 is an frugal number, since it uses more digits than its factorization.

268228317312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30538 (or 15264 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 268228317312 in words is "two hundred sixty-eight billion, two hundred twenty-eight million, three hundred seventeen thousand, three hundred twelve".