268086808441 has 9 divisors (see below), whose sum is σ = 268844369391. Its totient is φ = 267331380552.

The previous prime is 268086808421. The next prime is 268086808447. The reversal of 268086808441 is 144808680862.

It is a happy number.

The square root of 268086808441 is 517771.

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

It can be written as a sum of positive squares in only one way, i.e., 15484069225 + 252602739216 = 124435^2 + 502596^2 .

It is not a de Polignac number, because 268086808441 - 2¹⁹ = 268086284153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268086808447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 314286571 + ... + 314287423.

It is an arithmetic number, because the mean of its divisors is an integer number (29871596599).

Almost surely, 2^268086808441 is an apocalyptic number.

268086808441 is the 517771-st square number.

268086808441 is the 258886-th centered octagonal number.

It is an amenable number.

268086808441 is a deficient number, since it is larger than the sum of its proper divisors (757560950).

268086808441 is an frugal number, since it uses more digits than its factorization.

268086808441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 55.

The spelling of 268086808441 in words is "two hundred sixty-eight billion, eighty-six million, eight hundred eight thousand, four hundred forty-one".