13638049680024 has 640 divisors, whose sum is σ = 50454531832320. Its totient is φ = 3332117606400.

The previous prime is 13638049680023. The next prime is 13638049680049. The reversal of 13638049680024 is 42008694083631.

13638049680024 is a `hidden beast` number, since 13 + 63 + 8 + 0 + 496 + 80 + 0 + 2 + 4 = 666.

13638049680024 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638049680023) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2101067419 + ... + 2101073909.

It is an arithmetic number, because the mean of its divisors is an integer number (78835205988).

Almost surely, 2^{13638049680024} is an apocalyptic number.

13638049680024 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 13638049680024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25227265916160).

13638049680024 is an abundant number, since it is smaller than the sum of its proper divisors (36816482152296).

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

13638049680024 is a wasteful number, since it uses less digits than its factorization.

13638049680024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9021 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 13638049680024 in words is "thirteen trillion, six hundred thirty-eight billion, forty-nine million, six hundred eighty thousand, twenty-four".