12044705904 has 720 divisors, whose sum is σ = 46340409024. Its totient is φ = 2846638080.

The previous prime is 12044705851. The next prime is 12044705909. The reversal of 12044705904 is 40950744021.

It is a happy number.

12044705904 is a `hidden beast` number, since 1 + 20 + 4 + 47 + 0 + 590 + 4 = 666.

12044705904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044705909) 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 143 ways as a sum of consecutive naturals, for example, 76717794 + ... + 76717950.

Almost surely, 2^12044705904 is an apocalyptic number.

12044705904 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 12044705904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23170204512).

12044705904 is an abundant number, since it is smaller than the sum of its proper divisors (34295703120).

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

12044705904 is a wasteful number, since it uses less digits than its factorization.

12044705904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12044705904 in words is "twelve billion, forty-four million, seven hundred five thousand, nine hundred four".