11457817289 has 2 divisors, whose sum is σ = 11457817290. Its totient is φ = 11457817288.

The previous prime is 11457817249. The next prime is 11457817307. The reversal of 11457817289 is 98271875411.

11457817289 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 can be written as a sum of positive squares in only one way, i.e., 8857633225 + 2600184064 = 94115^2 + 50992^2 .

It is a cyclic number.

It is not a de Polignac number, because 11457817289 - 2²⁴ = 11441040073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11457817289.

It is not a weakly prime, because it can be changed into another prime (11457817249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5728908644 + 5728908645.

It is an arithmetic number, because the mean of its divisors is an integer number (5728908645).

Almost surely, 2^11457817289 is an apocalyptic number.

It is an amenable number.

11457817289 is a deficient number, since it is larger than the sum of its proper divisors (1).

11457817289 is an equidigital number, since it uses as much as digits as its factorization.

11457817289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1128960, while the sum is 53.

The spelling of 11457817289 in words is "eleven billion, four hundred fifty-seven million, eight hundred seventeen thousand, two hundred eighty-nine".