12346076544 has 64 divisors (see below), whose sum is σ = 32853090240. Its totient is φ = 4107977216.

The previous prime is 12346076543. The next prime is 12346076581. The reversal of 12346076544 is 44567064321.

It is a happy number.

12346076544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12346076496 and 12346076505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12346076543) 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 7 ways as a sum of consecutive naturals, for example, 187639 + ... + 244745.

It is an arithmetic number, because the mean of its divisors is an integer number (513329535).

Almost surely, 2^12346076544 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 12346076544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426545120).

12346076544 is an abundant number, since it is smaller than the sum of its proper divisors (20507013696).

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

12346076544 is an equidigital number, since it uses as much as digits as its factorization.

12346076544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57687 (or 57675 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 12346076544 in words is "twelve billion, three hundred forty-six million, seventy-six thousand, five hundred forty-four".