144409823568 has 200 divisors, whose sum is σ = 443629719720. Its totient is φ = 45194526720.

The previous prime is 144409823521. The next prime is 144409823587. The reversal of 144409823568 is 865328904441.

144409823568 is a `hidden beast` number, since 14 + 4 + 40 + 9 + 8 + 23 + 568 = 666.

144409823568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2015291664 + 142394531904 = 44892^2 + 377352^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9267688 + ... + 9283256.

Almost surely, 2^144409823568 is an apocalyptic number.

144409823568 is a gapful number since it is divisible by the number (18) 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 144409823568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221814859860).

144409823568 is an abundant number, since it is smaller than the sum of its proper divisors (299219896152).

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

144409823568 is a wasteful number, since it uses less digits than its factorization.

144409823568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16027 (or 16012 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 144409823568 in words is "one hundred forty-four billion, four hundred nine million, eight hundred twenty-three thousand, five hundred sixty-eight".