12886493184 has 288 divisors, whose sum is σ = 38789150400. Its totient is φ = 4118446080.

The previous prime is 12886493183. The next prime is 12886493189. The reversal of 12886493184 is 48139468821.

It is a happy number.

12886493184 is a `hidden beast` number, since 1 + 288 + 6 + 49 + 318 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12886493184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886493183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56272782 + ... + 56273010.

It is an arithmetic number, because the mean of its divisors is an integer number (134684550).

Almost surely, 2^12886493184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12886493184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19394575200).

12886493184 is an abundant number, since it is smaller than the sum of its proper divisors (25902657216).

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

12886493184 is a wasteful number, since it uses less digits than its factorization.

12886493184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 12886493184 in words is "twelve billion, eight hundred eighty-six million, four hundred ninety-three thousand, one hundred eighty-four".