12186849271680 has 640 divisors, whose sum is σ = 44798723038080. Its totient is φ = 3154847367168.

The previous prime is 12186849271633. The next prime is 12186849271691. The reversal of 12186849271680 is 8617294868121.

12186849271680 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 68 + 492 + 7 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 876555609 + ... + 876569511.

It is an arithmetic number, because the mean of its divisors is an integer number (69998004747).

Almost surely, 2^{12186849271680} is an apocalyptic number.

12186849271680 is a gapful number since it is divisible by the number (10) 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 12186849271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22399361519040).

12186849271680 is an abundant number, since it is smaller than the sum of its proper divisors (32611873766400).

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

12186849271680 is a wasteful number, since it uses less digits than its factorization.

12186849271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14428 (or 14407 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 12186849271680 in words is "twelve trillion, one hundred eighty-six billion, eight hundred forty-nine million, two hundred seventy-one thousand, six hundred eighty".