268100800082741 has 2 divisors, whose sum is σ = 268100800082742. Its totient is φ = 268100800082740.

The previous prime is 268100800082653. The next prime is 268100800082849. The reversal of 268100800082741 is 147280008001862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249253176364516 + 18847623718225 = 15787754^2 + 4341385^2 .

It is a cyclic number.

It is not a de Polignac number, because 268100800082741 - 2¹⁰ = 268100800081717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268100800088741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134050400041370 + 134050400041371.

It is an arithmetic number, because the mean of its divisors is an integer number (134050400041371).

Almost surely, 2^{268100800082741} is an apocalyptic number.

It is an amenable number.

268100800082741 is a deficient number, since it is larger than the sum of its proper divisors (1).

268100800082741 is an equidigital number, since it uses as much as digits as its factorization.

268100800082741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 344064, while the sum is 47.

The spelling of 268100800082741 in words is "two hundred sixty-eight trillion, one hundred billion, eight hundred million, eighty-two thousand, seven hundred forty-one".