11451123566567 has 2 divisors, whose sum is σ = 11451123566568. Its totient is φ = 11451123566566.

The previous prime is 11451123566537. The next prime is 11451123566569. The reversal of 11451123566567 is 76566532115411.

11451123566567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11451123566567 - 2²⁶ = 11451056457703 is a prime.

It is a super-4 number, since 4×11451123566567⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 11451123566569, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11451123566569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5725561783283 + 5725561783284.

It is an arithmetic number, because the mean of its divisors is an integer number (5725561783284).

Almost surely, 2^{11451123566567} is an apocalyptic number.

11451123566567 is a deficient number, since it is larger than the sum of its proper divisors (1).

11451123566567 is an equidigital number, since it uses as much as digits as its factorization.

11451123566567 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536000, while the sum is 53.

The spelling of 11451123566567 in words is "eleven trillion, four hundred fifty-one billion, one hundred twenty-three million, five hundred sixty-six thousand, five hundred sixty-seven".