12939460436448 has 1152 divisors, whose sum is σ = 49246399440000. Its totient is φ = 3272213790720.

The previous prime is 12939460436437. The next prime is 12939460436471. The reversal of 12939460436448 is 84463406493921.

12939460436448 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 94 + 60 + 43 + 6 + 448 = 666.

12939460436448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2378137408 + ... + 2378142848.

It is an arithmetic number, because the mean of its divisors is an integer number (42748610625).

Almost surely, 2^{12939460436448} is an apocalyptic number.

12939460436448 is a gapful number since it is divisible by the number (18) 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 12939460436448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24623199720000).

12939460436448 is an abundant number, since it is smaller than the sum of its proper divisors (36306939003552).

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

12939460436448 is a wasteful number, since it uses less digits than its factorization.

12939460436448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 12939460436448 in words is "twelve trillion, nine hundred thirty-nine billion, four hundred sixty million, four hundred thirty-six thousand, four hundred forty-eight".