13444012032 has 192 divisors, whose sum is σ = 39697257600. Its totient is φ = 4011786240.

The previous prime is 13444012027. The next prime is 13444012033. The reversal of 13444012032 is 23021044431.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 13444011993 and 13444012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444012033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4526644 + ... + 4529612.

It is an arithmetic number, because the mean of its divisors is an integer number (206756550).

Almost surely, 2^13444012032 is an apocalyptic number.

13444012032 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 13444012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19848628800).

13444012032 is an abundant number, since it is smaller than the sum of its proper divisors (26253245568).

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

13444012032 is a wasteful number, since it uses less digits than its factorization.

13444012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13444012032 its reverse (23021044431), we get a palindrome (36465056463).

The spelling of 13444012032 in words is "thirteen billion, four hundred forty-four million, twelve thousand, thirty-two".