144243113313024 has 360 divisors, whose sum is σ = 469377081668880. Its totient is φ = 43694235648000.

The previous prime is 144243113313007. The next prime is 144243113313077. The reversal of 144243113313024 is 420313311342441.

144243113313024 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 4 + 3 + 11 + 331 + 302 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144243113313024.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 638784012 + ... + 639009780.

It is an arithmetic number, because the mean of its divisors is an integer number (1303825226858).

Almost surely, 2^{144243113313024} 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 144243113313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234688540834440).

144243113313024 is an abundant number, since it is smaller than the sum of its proper divisors (325133968355856).

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

144243113313024 is a wasteful number, since it uses less digits than its factorization.

144243113313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228609 (or 228586 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 144243113313024 its reverse (420313311342441), we get a palindrome (564556424655465).

The spelling of 144243113313024 in words is "one hundred forty-four trillion, two hundred forty-three billion, one hundred thirteen million, three hundred thirteen thousand, twenty-four".