13581438609024 has 768 divisors, whose sum is σ = 49929686876160. Its totient is φ = 3478870425600.

The previous prime is 13581438609023. The next prime is 13581438609029. The reversal of 13581438609024 is 42090683418531.

It is a happy number.

13581438609024 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 1 + 4 + 3 + 8 + 609 + 0 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (13581438609023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103553409 + ... + 103684479.

It is an arithmetic number, because the mean of its divisors is an integer number (65012613120).

Almost surely, 2^{13581438609024} 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 13581438609024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24964843438080).

13581438609024 is an abundant number, since it is smaller than the sum of its proper divisors (36348248267136).

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

13581438609024 is a wasteful number, since it uses less digits than its factorization.

13581438609024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131169 (or 131154 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 13581438609024 in words is "thirteen trillion, five hundred eighty-one billion, four hundred thirty-eight million, six hundred nine thousand, twenty-four".