11564416881 has 24 divisors (see below), whose sum is σ = 17299885824. Its totient is φ = 7439281920.

The previous prime is 11564416847. The next prime is 11564416901. The reversal of 11564416881 is 18861446511.

11564416881 is a `hidden beast` number, since 1 + 1 + 564 + 4 + 1 + 6 + 8 + 81 = 666.

It is not a de Polignac number, because 11564416881 - 2¹¹ = 11564414833 is a prime.

It is a super-2 number, since 2×11564416881² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11564416781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162496 + ... + 222561.

It is an arithmetic number, because the mean of its divisors is an integer number (720828576).

Almost surely, 2^11564416881 is an apocalyptic number.

It is an amenable number.

11564416881 is a deficient number, since it is larger than the sum of its proper divisors (5735468943).

11564416881 is a wasteful number, since it uses less digits than its factorization.

11564416881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385181 (or 385178 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 11564416881 in words is "eleven billion, five hundred sixty-four million, four hundred sixteen thousand, eight hundred eighty-one".