13544340032 has 56 divisors (see below), whose sum is σ = 27867483000. Its totient is φ = 6523682816.

The previous prime is 13544340013. The next prime is 13544340049. The reversal of 13544340032 is 23004344531.

It can be written as a sum of positive squares in 4 ways, for example, as 3811333696 + 9733006336 = 61736^2 + 98656^2 .

It is a super-2 number, since 2×13544340032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 13544339977 and 13544340004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825218 + ... + 841470.

It is an arithmetic number, because the mean of its divisors is an integer number (497633625).

Almost surely, 2^13544340032 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 13544340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933741500).

13544340032 is an abundant number, since it is smaller than the sum of its proper divisors (14323142968).

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

13544340032 is a wasteful number, since it uses less digits than its factorization.

13544340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16743 (or 16733 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 13544340032 its reverse (23004344531), we get a palindrome (36548684563).

The spelling of 13544340032 in words is "thirteen billion, five hundred forty-four million, three hundred forty thousand, thirty-two".