13844121597504 has 448 divisors, whose sum is σ = 46856489472000. Its totient is φ = 3964131809280.

The previous prime is 13844121597461. The next prime is 13844121597517. The reversal of 13844121597504 is 40579512144831.

13844121597504 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 4 + 121 + 5 + 9 + 7 + 504 = 666.

13844121597504 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140438857 + ... + 140537399.

Almost surely, 2^{13844121597504} 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 13844121597504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23428244736000).

13844121597504 is an abundant number, since it is smaller than the sum of its proper divisors (33012367874496).

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

13844121597504 is a wasteful number, since it uses less digits than its factorization.

13844121597504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98983 (or 98967 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 13844121597504 in words is "thirteen trillion, eight hundred forty-four billion, one hundred twenty-one million, five hundred ninety-seven thousand, five hundred four".