11011264164 has 72 divisors (see below), whose sum is σ = 28369461120. Its totient is φ = 3600096192.

The previous prime is 11011264163. The next prime is 11011264181. The reversal of 11011264164 is 46146211011.

11011264164 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 12 + 641 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (11011264163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977814 + ... + 989010.

Almost surely, 2^11011264164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011264164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14184730560).

11011264164 is an abundant number, since it is smaller than the sum of its proper divisors (17358196956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11011264164 is a wasteful number, since it uses less digits than its factorization.

11011264164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11011264164 its reverse (46146211011), we get a palindrome (57157475175).

The spelling of 11011264164 in words is "eleven billion, eleven million, two hundred sixty-four thousand, one hundred sixty-four".