12671184064 has 112 divisors (see below), whose sum is σ = 31392449280. Its totient is φ = 4929960960.

The previous prime is 12671184061. The next prime is 12671184077. The reversal of 12671184064 is 46048117621.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (12671184061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4911927 + ... + 4914505.

Almost surely, 2^12671184064 is an apocalyptic number.

12671184064 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 12671184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696224640).

12671184064 is an abundant number, since it is smaller than the sum of its proper divisors (18721265216).

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

12671184064 is a wasteful number, since it uses less digits than its factorization.

12671184064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 12671184064 in words is "twelve billion, six hundred seventy-one million, one hundred eighty-four thousand, sixty-four".