268161421653225 has 189 divisors, whose sum is σ = 503956825426047. Its totient is φ = 141485486400000.

The previous prime is 268161421653217. The next prime is 268161421653259. The reversal of 268161421653225 is 522356124161862.

The square root of 268161421653225 is 16375635.

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

268161421653225 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 61 + 4 + 21 + 6 + 532 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 209882122061481 + 58279299591744 = 14487309^2 + 7634088^2 .

It is not a de Polignac number, because 268161421653225 - 2³ = 268161421653217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 223281782625 + ... + 223281783825.

Almost surely, 2^{268161421653225} is an apocalyptic number.

268161421653225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268161421653225 is the 16375635-th square number.

268161421653225 is the 8187818-th centered octagonal number.

It is an amenable number.

268161421653225 is a deficient number, since it is larger than the sum of its proper divisors (235795403772822).

268161421653225 is an frugal number, since it uses more digits than its factorization.

268161421653225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 1310 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 268161421653225 in words is "two hundred sixty-eight trillion, one hundred sixty-one billion, four hundred twenty-one million, six hundred fifty-three thousand, two hundred twenty-five".