13801297824 has 288 divisors, whose sum is σ = 42409785600. Its totient is φ = 4244244480.

The previous prime is 13801297823. The next prime is 13801297841. The reversal of 13801297824 is 42879210831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13801297824.

It is not an unprimeable number, because it can be changed into a prime (13801297823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57745897 + ... + 57746135.

It is an arithmetic number, because the mean of its divisors is an integer number (147256200).

Almost surely, 2^13801297824 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 13801297824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204892800).

13801297824 is an abundant number, since it is smaller than the sum of its proper divisors (28608487776).

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

13801297824 is a wasteful number, since it uses less digits than its factorization.

13801297824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13801297824 in words is "thirteen billion, eight hundred one million, two hundred ninety-seven thousand, eight hundred twenty-four".