268463878225 has 27 divisors (see below), whose sum is σ = 335390497393. Its totient is φ = 213173174240.

The previous prime is 268463878187. The next prime is 268463878253. The reversal of 268463878225 is 522878364862.

The square root of 268463878225 is 518135.

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 29554079569 + 238909798656 = 171913^2 + 488784^2 .

It is not a de Polignac number, because 268463878225 - 2²⁷ = 268329660497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 448186476 + ... + 448187074.

Almost surely, 2^268463878225 is an apocalyptic number.

268463878225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268463878225 is the 518135-th square number.

268463878225 is the 259068-th centered octagonal number.

It is an amenable number.

268463878225 is a deficient number, since it is larger than the sum of its proper divisors (66926619168).

268463878225 is an frugal number, since it uses more digits than its factorization.

268463878225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 777 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 61.

The spelling of 268463878225 in words is "two hundred sixty-eight billion, four hundred sixty-three million, eight hundred seventy-eight thousand, two hundred twenty-five".