144045888000 has 960 divisors, whose sum is σ = 568495863936. Its totient is φ = 32256000000.

The previous prime is 144045887989. The next prime is 144045888053. The reversal of 144045888000 is 888540441.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 573887875 + ... + 573888125.

Almost surely, 2^144045888000 is an apocalyptic number.

144045888000 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 144045888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284247931968).

144045888000 is an abundant number, since it is smaller than the sum of its proper divisors (424449975936).

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

144045888000 is an equidigital number, since it uses as much as digits as its factorization.

144045888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 144045888000 in words is "one hundred forty-four billion, forty-five million, eight hundred eighty-eight thousand".