12863639449440 has 576 divisors, whose sum is σ = 48790049172480. Its totient is φ = 3163991500800.

The previous prime is 12863639449417. The next prime is 12863639449459. The reversal of 12863639449440 is 4494493636821.

12863639449440 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 3 + 63 + 94 + 49 + 440 = 666.

12863639449440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1059340009 + ... + 1059352151.

It is an arithmetic number, because the mean of its divisors is an integer number (84704946480).

Almost surely, 2^{12863639449440} is an apocalyptic number.

12863639449440 is a gapful number since it is divisible by the number (10) 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 12863639449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24395024586240).

12863639449440 is an abundant number, since it is smaller than the sum of its proper divisors (35926409723040).

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

12863639449440 is a wasteful number, since it uses less digits than its factorization.

12863639449440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13644 (or 13617 counting only the distinct ones).

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

The spelling of 12863639449440 in words is "twelve trillion, eight hundred sixty-three billion, six hundred thirty-nine million, four hundred forty-nine thousand, four hundred forty".