12004436838753 has 6 divisors (see below), whose sum is σ = 17339742100434. Its totient is φ = 8002957892496.

The previous prime is 12004436838733. The next prime is 12004436838799. The reversal of 12004436838753 is 35783863440021.

It is a happy number.

12004436838753 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 4 + 436 + 83 + 87 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11855743309089 + 148693529664 = 3443217^2 + 385608^2 .

It is not a de Polignac number, because 12004436838753 - 2⁶ = 12004436838689 is a prime.

It is a super-2 number, since 2×12004436838753² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12004436838753.

It is not an unprimeable number, because it can be changed into a prime (12004436838733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666913157700 + ... + 666913157717.

It is an arithmetic number, because the mean of its divisors is an integer number (2889957016739).

Almost surely, 2^{12004436838753} is an apocalyptic number.

It is an amenable number.

12004436838753 is a deficient number, since it is larger than the sum of its proper divisors (5335305261681).

12004436838753 is a wasteful number, since it uses less digits than its factorization.

12004436838753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333826315423 (or 1333826315420 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 12004436838753 in words is "twelve trillion, four billion, four hundred thirty-six million, eight hundred thirty-eight thousand, seven hundred fifty-three".