12348021337344 has 1728 divisors, whose sum is σ = 47691850752000. Its totient is φ = 3040063488000.

The previous prime is 12348021337313. The next prime is 12348021337411. The reversal of 12348021337344 is 44373312084321.

12348021337344 is a `hidden beast` number, since 1 + 2 + 3 + 480 + 2 + 133 + 7 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12348021337344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30190761012 + ... + 30190761420.

Almost surely, 2^{12348021337344} is an apocalyptic number.

12348021337344 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 12348021337344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23845925376000).

12348021337344 is an abundant number, since it is smaller than the sum of its proper divisors (35343829414656).

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

12348021337344 is a wasteful number, since it uses less digits than its factorization.

12348021337344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 12348021337344 in words is "twelve trillion, three hundred forty-eight billion, twenty-one million, three hundred thirty-seven thousand, three hundred forty-four".