12348405386688 has 224 divisors, whose sum is σ = 38471165835264. Its totient is φ = 3422489591808.

The previous prime is 12348405386683. The next prime is 12348405386741. The reversal of 12348405386688 is 88668350484321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12348405386683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6273006 + ... + 8002962.

Almost surely, 2^{12348405386688} 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 12348405386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19235582917632).

12348405386688 is an abundant number, since it is smaller than the sum of its proper divisors (26122760448576).

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

12348405386688 is a wasteful number, since it uses less digits than its factorization.

12348405386688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730139 (or 1730129 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 66.

The spelling of 12348405386688 in words is "twelve trillion, three hundred forty-eight billion, four hundred five million, three hundred eighty-six thousand, six hundred eighty-eight".