12186813744 has 320 divisors, whose sum is σ = 41871605760. Its totient is φ = 3320352000.

The previous prime is 12186813733. The next prime is 12186813791. The reversal of 12186813744 is 44731868121.

12186813744 is a `hidden beast` number, since 1 + 218 + 68 + 1 + 374 + 4 = 666.

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 12186813744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6654909 + ... + 6656739.

It is an arithmetic number, because the mean of its divisors is an integer number (130848768).

Almost surely, 2^12186813744 is an apocalyptic number.

12186813744 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 12186813744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20935802880).

12186813744 is an abundant number, since it is smaller than the sum of its proper divisors (29684792016).

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

12186813744 is a wasteful number, since it uses less digits than its factorization.

12186813744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1945 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 12186813744 in words is "twelve billion, one hundred eighty-six million, eight hundred thirteen thousand, seven hundred forty-four".