11564354027117 has 16 divisors (see below), whose sum is σ = 12394878999552. Its totient is φ = 10761216238080.

The previous prime is 11564354027099. The next prime is 11564354027123. The reversal of 11564354027117 is 71172045346511.

11564354027117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11564354027117 - 2²² = 11564349832813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11564354027137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5806148 + ... + 7539234.

It is an arithmetic number, because the mean of its divisors is an integer number (774679937472).

Almost surely, 2^{11564354027117} is an apocalyptic number.

It is an amenable number.

11564354027117 is a deficient number, since it is larger than the sum of its proper divisors (830524972435).

11564354027117 is a wasteful number, since it uses less digits than its factorization.

11564354027117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740988.

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 11564354027117 in words is "eleven trillion, five hundred sixty-four billion, three hundred fifty-four million, twenty-seven thousand, one hundred seventeen".