13244005152 has 144 divisors (see below), whose sum is σ = 43116615360. Its totient is φ = 3777532416.

The previous prime is 13244005129. The next prime is 13244005213. The reversal of 13244005152 is 25150044231.

13244005152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1242598 + ... + 1253210.

It is an arithmetic number, because the mean of its divisors is an integer number (299420940).

Almost surely, 2^13244005152 is an apocalyptic number.

13244005152 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 13244005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21558307680).

13244005152 is an abundant number, since it is smaller than the sum of its proper divisors (29872610208).

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

13244005152 is a wasteful number, since it uses less digits than its factorization.

13244005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11255 (or 11244 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13244005152 its reverse (25150044231), we get a palindrome (38394049383).

The spelling of 13244005152 in words is "thirteen billion, two hundred forty-four million, five thousand, one hundred fifty-two".