144105164164064 has 24 divisors (see below), whose sum is σ = 300395691475488. Its totient is φ = 67814194900480.

The previous prime is 144105164164063. The next prime is 144105164164069. The reversal of 144105164164064 is 460461461501441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144105164164061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132449598872 + ... + 132449599959.

It is an arithmetic number, because the mean of its divisors is an integer number (12516487144812).

Almost surely, 2^{144105164164064} is an apocalyptic number.

It is an amenable number.

144105164164064 is an abundant number, since it is smaller than the sum of its proper divisors (156290527311424).

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

144105164164064 is a wasteful number, since it uses less digits than its factorization.

144105164164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264899198858 (or 264899198850 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 144105164164064 in words is "one hundred forty-four trillion, one hundred five billion, one hundred sixty-four million, one hundred sixty-four thousand, sixty-four".