11164531518 has 144 divisors (see below), whose sum is σ = 30577098240. Its totient is φ = 2924359200.

The previous prime is 11164531513. The next prime is 11164531531. The reversal of 11164531518 is 81513546111.

11164531518 is a `hidden beast` number, since 1 + 1 + 1 + 645 + 3 + 1 + 5 + 1 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11164531513) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 508753 + ... + 530243.

It is an arithmetic number, because the mean of its divisors is an integer number (212340960).

Almost surely, 2^11164531518 is an apocalyptic number.

11164531518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11164531518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288549120).

11164531518 is an abundant number, since it is smaller than the sum of its proper divisors (19412566722).

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

11164531518 is a wasteful number, since it uses less digits than its factorization.

11164531518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21563 (or 21553 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The spelling of 11164531518 in words is "eleven billion, one hundred sixty-four million, five hundred thirty-one thousand, five hundred eighteen".