144544518144 has 312 divisors, whose sum is σ = 466334205792. Its totient is φ = 44471255040.

The previous prime is 144544518109. The next prime is 144544518149. The reversal of 144544518144 is 441815445441.

144544518144 is a `hidden beast` number, since 1 + 4 + 4 + 54 + 451 + 8 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×144544518144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144544518144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144544518149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12933679 + ... + 12944849.

It is an arithmetic number, because the mean of its divisors is an integer number (1494660916).

Almost surely, 2^144544518144 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 144544518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233167102896).

144544518144 is an abundant number, since it is smaller than the sum of its proper divisors (321789687648).

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

144544518144 is an equidigital number, since it uses as much as digits as its factorization.

144544518144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223 (or 11189 counting only the distinct ones).

The product of its digits is 819200, while the sum is 45.

The spelling of 144544518144 in words is "one hundred forty-four billion, five hundred forty-four million, five hundred eighteen thousand, one hundred forty-four".