144340314432 has 112 divisors (see below), whose sum is σ = 385328842752. Its totient is φ = 47683468800.

The previous prime is 144340314401. The next prime is 144340314449. The reversal of 144340314432 is 234413043441.

It is a junction number, because it is equal to n+sod(n) for n = 144340314393 and 144340314402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9711807 + ... + 9726657.

It is an arithmetic number, because the mean of its divisors is an integer number (3440436096).

Almost surely, 2^144340314432 is an apocalyptic number.

144340314432 is a gapful number since it is divisible by the number (12) 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 144340314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192664421376).

144340314432 is an abundant number, since it is smaller than the sum of its proper divisors (240988528320).

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

144340314432 is a wasteful number, since it uses less digits than its factorization.

144340314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15316 (or 15306 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 144340314432 its reverse (234413043441), we get a palindrome (378753357873).

The spelling of 144340314432 in words is "one hundred forty-four billion, three hundred forty million, three hundred fourteen thousand, four hundred thirty-two".