144480011520 has 576 divisors, whose sum is σ = 516554970624. Its totient is φ = 34186199040.

The previous prime is 144480011503. The next prime is 144480011521. The reversal of 144480011520 is 25110084441.

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 (144480011521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149410077 + ... + 149411043.

It is an arithmetic number, because the mean of its divisors is an integer number (896796824).

Almost surely, 2^144480011520 is an apocalyptic number.

144480011520 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 144480011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258277485312).

144480011520 is an abundant number, since it is smaller than the sum of its proper divisors (372074959104).

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

144480011520 is a wasteful number, since it uses less digits than its factorization.

144480011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 144480011520 its reverse (25110084441), we get a palindrome (169590095961).

The spelling of 144480011520 in words is "one hundred forty-four billion, four hundred eighty million, eleven thousand, five hundred twenty".