11366512164 has 144 divisors (see below), whose sum is σ = 35116724160. Its totient is φ = 3168305280.

The previous prime is 11366512151. The next prime is 11366512187. The reversal of 11366512164 is 46121566311.

11366512164 is a `hidden beast` number, since 1 + 136 + 6 + 512 + 1 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190779 + ... + 243165.

It is an arithmetic number, because the mean of its divisors is an integer number (243866140).

Almost surely, 2^11366512164 is an apocalyptic number.

11366512164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11366512164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558362080).

11366512164 is an abundant number, since it is smaller than the sum of its proper divisors (23750211996).

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

11366512164 is a wasteful number, since it uses less digits than its factorization.

11366512164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52455 (or 52440 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11366512164 in words is "eleven billion, three hundred sixty-six million, five hundred twelve thousand, one hundred sixty-four".