11564311346511 has 16 divisors (see below), whose sum is σ = 19223790290688. Its totient is φ = 6007434465600.

The previous prime is 11564311346503. The next prime is 11564311346537.

11564311346511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11564311346511 - 2³ = 11564311346503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11564311346561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25030976710 + ... + 25030977171.

It is an arithmetic number, because the mean of its divisors is an integer number (1201486893168).

Almost surely, 2^{11564311346511} is an apocalyptic number.

11564311346511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11564311346511 is a deficient number, since it is larger than the sum of its proper divisors (7659478944177).

11564311346511 is a wasteful number, since it uses less digits than its factorization.

11564311346511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50061953902.

The product of its digits is 129600, while the sum is 42.

The spelling of 11564311346511 in words is "eleven trillion, five hundred sixty-four billion, three hundred eleven million, three hundred forty-six thousand, five hundred eleven".