268456624384 has 243 divisors, whose sum is σ = 604261461783. Its totient is φ = 118978768896.

The previous prime is 268456624369. The next prime is 268456624393. The reversal of 268456624384 is 483426654862.

It is a happy number.

The square root of 268456624384 is 518128.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6967574784 + 261489049600 = 83472^2 + 511360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5065219302 + ... + 5065219354.

Almost surely, 2^268456624384 is an apocalyptic number.

268456624384 is the 518128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268456624384

268456624384 is an abundant number, since it is smaller than the sum of its proper divisors (335804837399).

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

268456624384 is an frugal number, since it uses more digits than its factorization.

268456624384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 115 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 58.

The spelling of 268456624384 in words is "two hundred sixty-eight billion, four hundred fifty-six million, six hundred twenty-four thousand, three hundred eighty-four".