13544304400 has 225 divisors, whose sum is σ = 37393099093. Its totient is φ = 4711062400.

The previous prime is 13544304359. The next prime is 13544304401. The reversal of 13544304400 is 440344531.

The square root of 13544304400 is 116380.

It is a perfect power (a square), and thus also a powerful number.

13544304400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4875949584 + 8668354816 = 69828^2 + 93104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13544304401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 588882789 + ... + 588882811.

Almost surely, 2^13544304400 is an apocalyptic number.

13544304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13544304400 is the 116380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13544304400

13544304400 is an abundant number, since it is smaller than the sum of its proper divisors (23848794693).

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

13544304400 is an frugal number, since it uses more digits than its factorization.

13544304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 13544304400 its reverse (440344531), we get a palindrome (13984648931).

The spelling of 13544304400 in words is "thirteen billion, five hundred forty-four million, three hundred four thousand, four hundred".