12611669328 has 80 divisors (see below), whose sum is σ = 36430932160. Its totient is φ = 4177090944.

The previous prime is 12611669303. The next prime is 12611669363. The reversal of 12611669328 is 82396611621.

12611669328 is a `hidden beast` number, since 1 + 2 + 611 + 6 + 6 + 9 + 3 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25150 + ... + 160797.

It is an arithmetic number, because the mean of its divisors is an integer number (455386652).

Almost surely, 2^12611669328 is an apocalyptic number.

12611669328 is a gapful number since it is divisible by the number (18) 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 12611669328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18215466080).

12611669328 is an abundant number, since it is smaller than the sum of its proper divisors (23819262832).

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

12611669328 is a wasteful number, since it uses less digits than its factorization.

12611669328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186121 (or 186109 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 12611669328 in words is "twelve billion, six hundred eleven million, six hundred sixty-nine thousand, three hundred twenty-eight".