144332104340304 has 120 divisors (see below), whose sum is σ = 405444583814400. Its totient is φ = 47930494682880.

The previous prime is 144332104340273. The next prime is 144332104340353. The reversal of 144332104340304 is 403043401233441.

144332104340304 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 3 + 2 + 1 + 0 + 4 + 340 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52368574 + ... + 55055714.

It is an arithmetic number, because the mean of its divisors is an integer number (3378704865120).

Almost surely, 2^{144332104340304} 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 144332104340304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202722291907200).

144332104340304 is an abundant number, since it is smaller than the sum of its proper divisors (261112479474096).

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

144332104340304 is a wasteful number, since it uses less digits than its factorization.

144332104340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688553 (or 2688544 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 144332104340304 its reverse (403043401233441), we get a palindrome (547375505573745).

The spelling of 144332104340304 in words is "one hundred forty-four trillion, three hundred thirty-two billion, one hundred four million, three hundred forty thousand, three hundred four".