13209795144 has 768 divisors, whose sum is σ = 50254848000. Its totient is φ = 3174474240.

The previous prime is 13209795139. The next prime is 13209795149. The reversal of 13209795144 is 44159790231.

13209795144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13209795139) and next prime (13209795149).

It is a self number, because there is not a number n which added to its sum of digits gives 13209795144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13209795149) 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 191 ways as a sum of consecutive naturals, for example, 81041607 + ... + 81041769.

It is an arithmetic number, because the mean of its divisors is an integer number (65436000).

Almost surely, 2^13209795144 is an apocalyptic number.

13209795144 is a gapful number since it is divisible by the number (14) 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 13209795144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25127424000).

13209795144 is an abundant number, since it is smaller than the sum of its proper divisors (37045052856).

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

13209795144 is a wasteful number, since it uses less digits than its factorization.

13209795144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

It can be divided in two parts, 1320979 and 5144, that multiplied together give a palindrome (6795115976).

The spelling of 13209795144 in words is "thirteen billion, two hundred nine million, seven hundred ninety-five thousand, one hundred forty-four".