268198004304 has 60 divisors (see below), whose sum is σ = 751390235700. Its totient is φ = 89303058432.

The previous prime is 268198004273. The next prime is 268198004317. The reversal of 268198004304 is 403400891862.

It is a happy number.

268198004304 is a `hidden beast` number, since 26 + 8 + 198 + 0 + 0 + 430 + 4 = 666.

268198004304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 72964814400 + 195233189904 = 270120^2 + 441852^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 268198004304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868639 + ... + 1136190.

It is an arithmetic number, because the mean of its divisors is an integer number (12523170595).

Almost surely, 2^268198004304 is an apocalyptic number.

268198004304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268198004304 is an abundant number, since it is smaller than the sum of its proper divisors (483192231396).

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

268198004304 is a wasteful number, since it uses less digits than its factorization.

268198004304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005772 (or 2005763 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 268198004304 in words is "two hundred sixty-eight billion, one hundred ninety-eight million, four thousand, three hundred four".