144921993216 has 896 divisors, whose sum is σ = 534791448576. Its totient is φ = 33690746880.

The previous prime is 144921993191. The next prime is 144921993317. The reversal of 144921993216 is 612399129441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

Its product of digits (839808) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1057824700 + ... + 1057824836.

It is an arithmetic number, because the mean of its divisors is an integer number (596865456).

Almost surely, 2^144921993216 is an apocalyptic number.

144921993216 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 144921993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267395724288).

144921993216 is an abundant number, since it is smaller than the sum of its proper divisors (389869455360).

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

144921993216 is a wasteful number, since it uses less digits than its factorization.

144921993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The spelling of 144921993216 in words is "one hundred forty-four billion, nine hundred twenty-one million, nine hundred ninety-three thousand, two hundred sixteen".