268627150242801 has 27 divisors (see below), whose sum is σ = 451367286559371. Its totient is φ = 153501032031984.

The previous prime is 268627150242721. The next prime is 268627150242883. The reversal of 268627150242801 is 108242051726862.

The square root of 268627150242801 is 16389849.

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

268627150242801 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 271 + 50 + 242 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4065864927201 + 264561285315600 = 2016399^2 + 16265340^2 .

It is not a de Polignac number, because 268627150242801 - 2⁹ = 268627150242289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268627150242901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 343796595 + ... + 344577063.

Almost surely, 2^{268627150242801} is an apocalyptic number.

268627150242801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

268627150242801 is the 16389849-th square number.

268627150242801 is the 8194925-th centered octagonal number.

It is an amenable number.

268627150242801 is a deficient number, since it is larger than the sum of its proper divisors (182740136316570).

268627150242801 is an frugal number, since it uses more digits than its factorization.

268627150242801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560958 (or 780479 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 268627150242801 in words is "two hundred sixty-eight trillion, six hundred twenty-seven billion, one hundred fifty million, two hundred forty-two thousand, eight hundred one".