12938641408 has 152 divisors (see below), whose sum is σ = 32312856384. Its totient is φ = 5033164800.

The previous prime is 12938641393. The next prime is 12938641447. The reversal of 12938641408 is 80414683921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20184768 + ... + 20185408.

Almost surely, 2^12938641408 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 12938641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156428192).

12938641408 is an abundant number, since it is smaller than the sum of its proper divisors (19374214976).

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

12938641408 is an frugal number, since it uses more digits than its factorization.

12938641408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 12938641408 in words is "twelve billion, nine hundred thirty-eight million, six hundred forty-one thousand, four hundred eight".