13444144500 has 96 divisors (see below), whose sum is σ = 39226771584. Its totient is φ = 3578016000.

The previous prime is 13444144477. The next prime is 13444144501. The reversal of 13444144500 is 544144431.

13444144500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444144501) 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 31 ways as a sum of consecutive naturals, for example, 772899 + ... + 790101.

It is an arithmetic number, because the mean of its divisors is an integer number (408612204).

Almost surely, 2^13444144500 is an apocalyptic number.

13444144500 is a gapful number since it is divisible by the number (10) 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 13444144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19613385792).

13444144500 is an abundant number, since it is smaller than the sum of its proper divisors (25782627084).

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

13444144500 is a wasteful number, since it uses less digits than its factorization.

13444144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17746 (or 17734 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 13444144500 its reverse (544144431), we get a palindrome (13988288931).

The spelling of 13444144500 in words is "thirteen billion, four hundred forty-four million, one hundred forty-four thousand, five hundred".