11505167374249 has 2 divisors, whose sum is σ = 11505167374250. Its totient is φ = 11505167374248.

The previous prime is 11505167374247. The next prime is 11505167374273. The reversal of 11505167374249 is 94247376150511.

It is a happy number.

11505167374249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11328374035225 + 176793339024 = 3365765^2 + 420468^2 .

It is an emirp because it is prime and its reverse (94247376150511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11505167374249 - 2¹ = 11505167374247 is a prime.

Together with 11505167374247, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 11505167374249.

It is not a weakly prime, because it can be changed into another prime (11505167374243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5752583687124 + 5752583687125.

It is an arithmetic number, because the mean of its divisors is an integer number (5752583687125).

Almost surely, 2^{11505167374249} is an apocalyptic number.

It is an amenable number.

11505167374249 is a deficient number, since it is larger than the sum of its proper divisors (1).

11505167374249 is an equidigital number, since it uses as much as digits as its factorization.

11505167374249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 11505167374249 in words is "eleven trillion, five hundred five billion, one hundred sixty-seven million, three hundred seventy-four thousand, two hundred forty-nine".