12438963992752 has 720 divisors, whose sum is σ = 30795128985600. Its totient is φ = 4835452723200.

The previous prime is 12438963992711. The next prime is 12438963992837. The reversal of 12438963992752 is 25729936983421.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139763640324 + ... + 139763640412.

It is an arithmetic number, because the mean of its divisors is an integer number (42771012480).

Almost surely, 2^{12438963992752} 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 12438963992752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397564492800).

12438963992752 is an abundant number, since it is smaller than the sum of its proper divisors (18356164992848).

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

12438963992752 is a wasteful number, since it uses less digits than its factorization.

12438963992752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 248 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 70.

The spelling of 12438963992752 in words is "twelve trillion, four hundred thirty-eight billion, nine hundred sixty-three million, nine hundred ninety-two thousand, seven hundred fifty-two".