11146611564 has 216 divisors, whose sum is σ = 32726257200. Its totient is φ = 3168668160.

The previous prime is 11146611529. The next prime is 11146611569. The reversal of 11146611564 is 46511664111.

11146611564 is a `hidden beast` number, since 11 + 14 + 66 + 11 + 564 = 666.

11146611564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11146611569) 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 in 71 ways as a sum of consecutive naturals, for example, 15721242 + ... + 15721950.

It is an arithmetic number, because the mean of its divisors is an integer number (151510450).

Almost surely, 2^11146611564 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 11146611564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16363128600).

11146611564 is an abundant number, since it is smaller than the sum of its proper divisors (21579645636).

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

11146611564 is a wasteful number, since it uses less digits than its factorization.

11146611564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 791 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 11146611564 in words is "eleven billion, one hundred forty-six million, six hundred eleven thousand, five hundred sixty-four".