268341094272 has 128 divisors (see below), whose sum is σ = 760864838400. Its totient is φ = 83545620480.

The previous prime is 268341094271. The next prime is 268341094279. The reversal of 268341094272 is 272490143862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268341094271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259008 + ... + 777024.

It is an arithmetic number, because the mean of its divisors is an integer number (5944256550).

Almost surely, 2^268341094272 is an apocalyptic number.

It is a pronic number, being equal to 518016×518017.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268341094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380432419200).

268341094272 is an abundant number, since it is smaller than the sum of its proper divisors (492523744128).

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

268341094272 is a wasteful number, since it uses less digits than its factorization.

268341094272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518124 (or 518112 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 268341094272 in words is "two hundred sixty-eight billion, three hundred forty-one million, ninety-four thousand, two hundred seventy-two".