144104334134432 has 96 divisors (see below), whose sum is σ = 326611909266048. Its totient is φ = 61306237403136.

The previous prime is 144104334134419. The next prime is 144104334134471. The reversal of 144104334134432 is 234431433401441.

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 144104334134432.

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, 1351047248 + ... + 1351153904.

It is an arithmetic number, because the mean of its divisors is an integer number (3402207388188).

Almost surely, 2^{144104334134432} 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 144104334134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163305954633024).

144104334134432 is an abundant number, since it is smaller than the sum of its proper divisors (182507575131616).

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

144104334134432 is a wasteful number, since it uses less digits than its factorization.

144104334134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150838 (or 150830 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 41.

Adding to 144104334134432 its reverse (234431433401441), we get a palindrome (378535767535873).

The spelling of 144104334134432 in words is "one hundred forty-four trillion, one hundred four billion, three hundred thirty-four million, one hundred thirty-four thousand, four hundred thirty-two".