505404343354344 has 256 divisors, whose sum is σ = 1500253978406400. Its totient is φ = 138820531519488.

The previous prime is 505404343354277. The next prime is 505404343354349. The reversal of 505404343354344 is 443453343404505.

It is not an unprimeable number, because it can be changed into a prime (505404343354349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2996200534 + ... + 2996369210.

It is an arithmetic number, because the mean of its divisors is an integer number (5860367103150).

Almost surely, 2^{505404343354344} 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 505404343354344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750126989203200).

505404343354344 is an abundant number, since it is smaller than the sum of its proper divisors (994849635052056).

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

505404343354344 is a wasteful number, since it uses less digits than its factorization.

505404343354344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171372 (or 171368 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 51.

Adding to 505404343354344 its reverse (443453343404505), we get a palindrome (948857686758849).

The spelling of 505404343354344 in words is "five hundred five trillion, four hundred four billion, three hundred forty-three million, three hundred fifty-four thousand, three hundred forty-four".