535352240412144 has 240 divisors, whose sum is σ = 1550413346882400. Its totient is φ = 172330946371584.

The previous prime is 535352240412019. The next prime is 535352240412151. The reversal of 535352240412144 is 441214042253535.

535352240412144 is a `hidden beast` number, since 5 + 3 + 5 + 3 + 5 + 22 + 404 + 1 + 214 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 535352240412144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13671922614 + ... + 13671961770.

It is an arithmetic number, because the mean of its divisors is an integer number (6460055612010).

Almost surely, 2^{535352240412144} 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 535352240412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775206673441200).

535352240412144 is an abundant number, since it is smaller than the sum of its proper divisors (1015061106470256).

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

535352240412144 is a wasteful number, since it uses less digits than its factorization.

535352240412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64112 (or 64103 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 535352240412144 its reverse (441214042253535), we get a palindrome (976566282665679).

The spelling of 535352240412144 in words is "five hundred thirty-five trillion, three hundred fifty-two billion, two hundred forty million, four hundred twelve thousand, one hundred forty-four".