11451466456601 has 2 divisors, whose sum is σ = 11451466456602. Its totient is φ = 11451466456600.

The previous prime is 11451466456567. The next prime is 11451466456609. The reversal of 11451466456601 is 10665466415411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10206235878400 + 1245230578201 = 3194720^2 + 1115899^2 .

It is a cyclic number.

It is not a de Polignac number, because 11451466456601 - 2¹⁰ = 11451466455577 is a prime.

It is a super-2 number, since 2×11451466456601² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11451466456601.

It is not a weakly prime, because it can be changed into another prime (11451466456609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5725733228300 + 5725733228301.

It is an arithmetic number, because the mean of its divisors is an integer number (5725733228301).

Almost surely, 2^{11451466456601} is an apocalyptic number.

It is an amenable number.

11451466456601 is a deficient number, since it is larger than the sum of its proper divisors (1).

11451466456601 is an equidigital number, since it uses as much as digits as its factorization.

11451466456601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 11451466456601 in words is "eleven trillion, four hundred fifty-one billion, four hundred sixty-six million, four hundred fifty-six thousand, six hundred one".