12840744648186 has 640 divisors, whose sum is σ = 38012742028800. Its totient is φ = 3145316106240.

The previous prime is 12840744648103. The next prime is 12840744648191. The reversal of 12840744648186 is 68184644704821.

It is a happy number.

12840744648186 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 0 + 7 + 446 + 4 + 8 + 186 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6031349170 + ... + 6031351298.

It is an arithmetic number, because the mean of its divisors is an integer number (59394909420).

Almost surely, 2^{12840744648186} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12840744648186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19006371014400).

12840744648186 is an abundant number, since it is smaller than the sum of its proper divisors (25171997380614).

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

12840744648186 is a wasteful number, since it uses less digits than its factorization.

12840744648186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 12840744648186 in words is "twelve trillion, eight hundred forty billion, seven hundred forty-four million, six hundred forty-eight thousand, one hundred eighty-six".