144817273081536 has 336 divisors, whose sum is σ = 423608726872800. Its totient is φ = 43629627064320.

The previous prime is 144817273081529. The next prime is 144817273081549. The reversal of 144817273081536 is 635180372718441.

It is a self number, because there is not a number n which added to its sum of digits gives 144817273081536.

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 47 ways as a sum of consecutive naturals, for example, 3771951556 + ... + 3771989948.

It is an arithmetic number, because the mean of its divisors is an integer number (1260740258550).

Almost surely, 2^{144817273081536} is an apocalyptic number.

144817273081536 is a gapful number since it is divisible by the number (16) 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 144817273081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211804363436400).

144817273081536 is an abundant number, since it is smaller than the sum of its proper divisors (278791453791264).

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

144817273081536 is a wasteful number, since it uses less digits than its factorization.

144817273081536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39368 (or 39347 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 144817273081536 in words is "one hundred forty-four trillion, eight hundred seventeen billion, two hundred seventy-three million, eighty-one thousand, five hundred thirty-six".