13873761342144 has 560 divisors, whose sum is σ = 48324676202880. Its totient is φ = 3890259394560.

The previous prime is 13873761342143. The next prime is 13873761342149. The reversal of 13873761342144 is 44124316737831.

It is a happy number.

13873761342144 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 3 + 7 + 613 + 4 + 2 + 14 + 4 = 666.

13873761342144 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 not an unprimeable number, because it can be changed into a prime (13873761342143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46439712 + ... + 46737504.

It is an arithmetic number, because the mean of its divisors is an integer number (86294064648).

Almost surely, 2^{13873761342144} 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 13873761342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24162338101440).

13873761342144 is an abundant number, since it is smaller than the sum of its proper divisors (34450914860736).

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

13873761342144 is a wasteful number, since it uses less digits than its factorization.

13873761342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297890 (or 297871 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 13873761342144 in words is "thirteen trillion, eight hundred seventy-three billion, seven hundred sixty-one million, three hundred forty-two thousand, one hundred forty-four".