12591634518 has 96 divisors (see below), whose sum is σ = 28862215200. Its totient is φ = 4113192960.

The previous prime is 12591634513. The next prime is 12591634519. The reversal of 12591634518 is 81543619521.

It is a happy number.

12591634518 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 1 + 634 + 5 + 1 + 8 = 666.

12591634518 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12591634513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10345846 + ... + 10347062.

It is an arithmetic number, because the mean of its divisors is an integer number (300648075).

Almost surely, 2^12591634518 is an apocalyptic number.

12591634518 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 12591634518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431107600).

12591634518 is an abundant number, since it is smaller than the sum of its proper divisors (16270580682).

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

12591634518 is a wasteful number, since it uses less digits than its factorization.

12591634518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1632 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 12591634518 in words is "twelve billion, five hundred ninety-one million, six hundred thirty-four thousand, five hundred eighteen".