11824765891201 has 2 divisors, whose sum is σ = 11824765891202. Its totient is φ = 11824765891200.

The previous prime is 11824765891199. The next prime is 11824765891283. The reversal of 11824765891201 is 10219856742811.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11437382886400 + 387383004801 = 3381920^2 + 622401^2 .

It is an emirp because it is prime and its reverse (10219856742811) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11824765891201 - 2¹ = 11824765891199 is a prime.

Together with 11824765891199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11824765891801) 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, 5912382945600 + 5912382945601.

It is an arithmetic number, because the mean of its divisors is an integer number (5912382945601).

Almost surely, 2^{11824765891201} is an apocalyptic number.

It is an amenable number.

11824765891201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11824765891201 is an equidigital number, since it uses as much as digits as its factorization.

11824765891201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1935360, while the sum is 55.

The spelling of 11824765891201 in words is "eleven trillion, eight hundred twenty-four billion, seven hundred sixty-five million, eight hundred ninety-one thousand, two hundred one".