1144544128 has 128 divisors (see below), whose sum is σ = 2838064320. Its totient is φ = 447676416.

The previous prime is 1144544119. The next prime is 1144544143. The reversal of 1144544128 is 8214454411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1144544093 and 1144544102.

It is a congruent number.

It is an unprimeable number.

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, 1129350 + ... + 1130362.

Almost surely, 2^1144544128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419032160).

1144544128 is an abundant number, since it is smaller than the sum of its proper divisors (1693520192).

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

1144544128 is a wasteful number, since it uses less digits than its factorization.

1144544128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1132 counting only the distinct ones).

The product of its digits is 20480, while the sum is 34.

The square root of 1144544128 is about 33831.1118351141. Note that the first 3 decimals coincide. The cubic root of 1144544128 is about 1046.0300971004.

Adding to 1144544128 its reverse (8214454411), we get a palindrome (9358998539).

The spelling of 1144544128 in words is "one billion, one hundred forty-four million, five hundred forty-four thousand, one hundred twenty-eight".