12938171904 has 640 divisors, whose sum is σ = 47768371200. Its totient is φ = 3374161920.

The previous prime is 12938171893. The next prime is 12938171921. The reversal of 12938171904 is 40917183921.

It is a self number, because there is not a number n which added to its sum of digits gives 12938171904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56996239 + ... + 56996465.

It is an arithmetic number, because the mean of its divisors is an integer number (74638080).

Almost surely, 2^12938171904 is an apocalyptic number.

12938171904 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 12938171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23884185600).

12938171904 is an abundant number, since it is smaller than the sum of its proper divisors (34830199296).

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

12938171904 is a wasteful number, since it uses less digits than its factorization.

12938171904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12938171904 in words is "twelve billion, nine hundred thirty-eight million, one hundred seventy-one thousand, nine hundred four".