144124288896 has 128 divisors (see below), whose sum is σ = 437662056960. Its totient is φ = 41165015040.

The previous prime is 144124288883. The next prime is 144124288901. The reversal of 144124288896 is 698882421441.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10764126 + ... + 10777506.

It is an arithmetic number, because the mean of its divisors is an integer number (3419234820).

Almost surely, 2^144124288896 is an apocalyptic number.

144124288896 is a gapful number since it is divisible by the number (16) 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 144124288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218831028480).

144124288896 is an abundant number, since it is smaller than the sum of its proper divisors (293537768064).

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

144124288896 is a wasteful number, since it uses less digits than its factorization.

144124288896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17412 (or 17400 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 57.

The spelling of 144124288896 in words is "one hundred forty-four billion, one hundred twenty-four million, two hundred eighty-eight thousand, eight hundred ninety-six".