144009216000 has 720 divisors, whose sum is σ = 560053039728. Its totient is φ = 35389440000.

The previous prime is 144009215981. The next prime is 144009216059. The reversal of 144009216000 is 612900441.

144009216000 is a `hidden beast` number, since 1 + 440 + 0 + 9 + 216 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 47740502016 + 96268713984 = 218496^2 + 310272^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239615700 + ... + 239616300.

Almost surely, 2^144009216000 is an apocalyptic number.

144009216000 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 144009216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280026519864).

144009216000 is an abundant number, since it is smaller than the sum of its proper divisors (416043823728).

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

144009216000 is an equidigital number, since it uses as much as digits as its factorization.

144009216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 144009216000 in words is "one hundred forty-four billion, nine million, two hundred sixteen thousand".