12917404042048 has 112 divisors (see below), whose sum is σ = 28047196981440. Its totient is φ = 5853936844800.

The previous prime is 12917404042043. The next prime is 12917404042079. The reversal of 12917404042048 is 84024040471921.

It is a junction number, because it is equal to n+sod(n) for n = 12917404041989 and 12917404042007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12917404042043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513540640 + ... + 513565792.

It is an arithmetic number, because the mean of its divisors is an integer number (250421401620).

Almost surely, 2^{12917404042048} 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 12917404042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023598490720).

12917404042048 is an abundant number, since it is smaller than the sum of its proper divisors (15129792939392).

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

12917404042048 is a wasteful number, since it uses less digits than its factorization.

12917404042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27336 (or 27326 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 12917404042048 in words is "twelve trillion, nine hundred seventeen billion, four hundred four million, forty-two thousand, forty-eight".