11436585966 has 128 divisors (see below), whose sum is σ = 28338831360. Its totient is φ = 3395903616.

The previous prime is 11436585959. The next prime is 11436585977. The reversal of 11436585966 is 66958563411.

11436585966 is a `hidden beast` number, since 1 + 1 + 43 + 6 + 5 + 8 + 596 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3296965 + ... + 3300431.

It is an arithmetic number, because the mean of its divisors is an integer number (221397120).

Almost surely, 2^11436585966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11436585966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169415680).

11436585966 is an abundant number, since it is smaller than the sum of its proper divisors (16902245394).

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

11436585966 is a wasteful number, since it uses less digits than its factorization.

11436585966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3649 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 11436585966 in words is "eleven billion, four hundred thirty-six million, five hundred eighty-five thousand, nine hundred sixty-six".