144073448064 has 1344 divisors, whose sum is σ = 570879671040. Its totient is φ = 35231625216.

The previous prime is 144073448059. The next prime is 144073448069. The reversal of 144073448064 is 460844370441.

It is a happy number.

144073448064 is a `hidden beast` number, since 1 + 4 + 40 + 73 + 4 + 480 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (144073448059) and next prime (144073448069).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144073448069) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3065392489 + ... + 3065392535.

It is an arithmetic number, because the mean of its divisors is an integer number (424761660).

Almost surely, 2^144073448064 is an apocalyptic number.

144073448064 is a gapful number since it is divisible by the number (14) 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 144073448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285439835520).

144073448064 is an abundant number, since it is smaller than the sum of its proper divisors (426806222976).

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

144073448064 is an equidigital number, since it uses as much as digits as its factorization.

144073448064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 144073448064 in words is "one hundred forty-four billion, seventy-three million, four hundred forty-eight thousand, sixty-four".