12986339184 has 480 divisors, whose sum is σ = 48219691520. Its totient is φ = 3166636032.

The previous prime is 12986339159. The next prime is 12986339231. The reversal of 12986339184 is 48193368921.

12986339184 is a `hidden beast` number, since 1 + 298 + 6 + 339 + 18 + 4 = 666.

It is a super-3 number, since 3×12986339184³ (a number of 31 digits) contains 333 as substring.

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 12986339184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10705362 + ... + 10706574.

Almost surely, 2^12986339184 is an apocalyptic number.

12986339184 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 12986339184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24109845760).

12986339184 is an abundant number, since it is smaller than the sum of its proper divisors (35233352336).

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

12986339184 is a wasteful number, since it uses less digits than its factorization.

12986339184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 12986339184 in words is "twelve billion, nine hundred eighty-six million, three hundred thirty-nine thousand, one hundred eighty-four".