268624293496577 has 2 divisors, whose sum is σ = 268624293496578. Its totient is φ = 268624293496576.

The previous prime is 268624293496529. The next prime is 268624293496589. The reversal of 268624293496577 is 775694392426862.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150402360210496 + 118221933286081 = 12263864^2 + 10872991^2 .

It is a cyclic number.

It is not a de Polignac number, because 268624293496577 - 2²² = 268624289302273 is a prime.

It is a super-2 number, since 2×268624293496577² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (268624293496477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134312146748288 + 134312146748289.

It is an arithmetic number, because the mean of its divisors is an integer number (134312146748289).

Almost surely, 2^{268624293496577} is an apocalyptic number.

It is an amenable number.

268624293496577 is a deficient number, since it is larger than the sum of its proper divisors (1).

268624293496577 is an equidigital number, since it uses as much as digits as its factorization.

268624293496577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13168189440, while the sum is 80.

The spelling of 268624293496577 in words is "two hundred sixty-eight trillion, six hundred twenty-four billion, two hundred ninety-three million, four hundred ninety-six thousand, five hundred seventy-seven".