12354067818144 has 288 divisors, whose sum is σ = 38367648905040. Its totient is φ = 3747709845504.

The previous prime is 12354067818089. The next prime is 12354067818151. The reversal of 12354067818144 is 44181876045321.

It is a happy number.

12354067818144 is a `hidden beast` number, since 1 + 2 + 3 + 540 + 6 + 7 + 81 + 8 + 14 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2931697328400 + 9422370489744 = 1712220^2 + 3069588^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844253452 + ... + 844268084.

Almost surely, 2^{12354067818144} 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 12354067818144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19183824452520).

12354067818144 is an abundant number, since it is smaller than the sum of its proper divisors (26013581086896).

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

12354067818144 is a wasteful number, since it uses less digits than its factorization.

12354067818144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17824 (or 17813 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 12354067818144 in words is "twelve trillion, three hundred fifty-four billion, sixty-seven million, eight hundred eighteen thousand, one hundred forty-four".