268731235864576 has 117 divisors (see below), whose sum is σ = 545680162490211. Its totient is φ = 132325538881536.

The previous prime is 268731235864543. The next prime is 268731235864607. The reversal of 268731235864576 is 675468532137862.

The square root of 268731235864576 is 16393024.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268731235864499 and 268731235864508.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70293285001 + ... + 70293288823.

Almost surely, 2^{268731235864576} is an apocalyptic number.

268731235864576 is the 16393024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268731235864576

268731235864576 is an abundant number, since it is smaller than the sum of its proper divisors (276948926625635).

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

268731235864576 is an frugal number, since it uses more digits than its factorization.

268731235864576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 3892 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 73.

The spelling of 268731235864576 in words is "two hundred sixty-eight trillion, seven hundred thirty-one billion, two hundred thirty-five million, eight hundred sixty-four thousand, five hundred seventy-six".