144343343213312 has 288 divisors, whose sum is σ = 303655413600000. Its totient is φ = 68389268226048.

The previous prime is 144343343213309. The next prime is 144343343213417. The reversal of 144343343213312 is 213312343343441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144343343213312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49314430793 + ... + 49314433719.

It is an arithmetic number, because the mean of its divisors is an integer number (1054359075000).

Almost surely, 2^{144343343213312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144343343213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151827706800000).

144343343213312 is an abundant number, since it is smaller than the sum of its proper divisors (159312070386688).

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

144343343213312 is a wasteful number, since it uses less digits than its factorization.

144343343213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3625 counting only the distinct ones).

The product of its digits is 746496, while the sum is 41.

Adding to 144343343213312 its reverse (213312343343441), we get a palindrome (357655686556753).

The spelling of 144343343213312 in words is "one hundred forty-four trillion, three hundred forty-three billion, three hundred forty-three million, two hundred thirteen thousand, three hundred twelve".