26668162816081 has 2 divisors, whose sum is σ = 26668162816082. Its totient is φ = 26668162816080.

The previous prime is 26668162816019. The next prime is 26668162816109. The reversal of 26668162816081 is 18061826186662.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14986259121681 + 11681903694400 = 3871209^2 + 3417880^2 .

It is a cyclic number.

It is not a de Polignac number, because 26668162816081 - 2³¹ = 26666015332433 is a prime.

It is a super-2 number, since 2×26668162816081² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (26668162816681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13334081408040 + 13334081408041.

It is an arithmetic number, because the mean of its divisors is an integer number (13334081408041).

Almost surely, 2^{26668162816081} is an apocalyptic number.

It is an amenable number.

26668162816081 is a deficient number, since it is larger than the sum of its proper divisors (1).

26668162816081 is an equidigital number, since it uses as much as digits as its factorization.

26668162816081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15925248, while the sum is 61.

The spelling of 26668162816081 in words is "twenty-six trillion, six hundred sixty-eight billion, one hundred sixty-two million, eight hundred sixteen thousand, eighty-one".