144312004334344 has 512 divisors, whose sum is σ = 379718254080000. Its totient is φ = 49639197081600.

The previous prime is 144312004334261. The next prime is 144312004334417. The reversal of 144312004334344 is 443433400213441.

It is a junction number, because it is equal to n+sod(n) for n = 144312004334297 and 144312004334306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8270494132 + ... + 8270511580.

It is an arithmetic number, because the mean of its divisors is an integer number (741637215000).

Almost surely, 2^{144312004334344} is an apocalyptic number.

144312004334344 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 144312004334344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189859127040000).

144312004334344 is an abundant number, since it is smaller than the sum of its proper divisors (235406249745656).

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

144312004334344 is a wasteful number, since it uses less digits than its factorization.

144312004334344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17917 (or 17913 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 144312004334344 its reverse (443433400213441), we get a palindrome (587745404547785).

The spelling of 144312004334344 in words is "one hundred forty-four trillion, three hundred twelve billion, four million, three hundred thirty-four thousand, three hundred forty-four".