268823584324 has 27 divisors (see below), whose sum is σ = 472352604087. Its totient is φ = 133867904544.

The previous prime is 268823584307. The next prime is 268823584327. The reversal of 268823584324 is 423485328862.

The square root of 268823584324 is 518482.

It is a perfect power (a square), and thus also a powerful number.

268823584324 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 4 ways, for example, as 3145190724 + 265678393600 = 56082^2 + 515440^2 .

It is a super-2 number, since 2×268823584324² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268823584327) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 411674382 + ... + 411675034.

Almost surely, 2^268823584324 is an apocalyptic number.

268823584324 is the 518482-nd square number.

It is an amenable number.

268823584324 is a deficient number, since it is larger than the sum of its proper divisors (203529019763).

268823584324 is an frugal number, since it uses more digits than its factorization.

268823584324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 1052 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 55.

The spelling of 268823584324 in words is "two hundred sixty-eight billion, eight hundred twenty-three million, five hundred eighty-four thousand, three hundred twenty-four".