13544001312 has 96 divisors (see below), whose sum is σ = 36820889280. Its totient is φ = 4354022400.

The previous prime is 13544001253. The next prime is 13544001343. The reversal of 13544001312 is 21310044531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3040687 + ... + 3045137.

It is an arithmetic number, because the mean of its divisors is an integer number (383550930).

Almost surely, 2^13544001312 is an apocalyptic number.

13544001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13544001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410444640).

13544001312 is an abundant number, since it is smaller than the sum of its proper divisors (23276887968).

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

13544001312 is a wasteful number, since it uses less digits than its factorization.

13544001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13544001312 its reverse (21310044531), we get a palindrome (34854045843).

The spelling of 13544001312 in words is "thirteen billion, five hundred forty-four million, one thousand, three hundred twelve".