505737344316 has 192 divisors, whose sum is σ = 1345872568320. Its totient is φ = 146822814720.

The previous prime is 505737344293. The next prime is 505737344369. The reversal of 505737344316 is 613443737505.

It is a super-2 number, since 2×505737344316² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102560371 + ... + 102565301.

It is an arithmetic number, because the mean of its divisors is an integer number (7009752960).

Almost surely, 2^505737344316 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 505737344316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672936284160).

505737344316 is an abundant number, since it is smaller than the sum of its proper divisors (840135224004).

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

505737344316 is a wasteful number, since it uses less digits than its factorization.

505737344316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5584 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 48.

The spelling of 505737344316 in words is "five hundred five billion, seven hundred thirty-seven million, three hundred forty-four thousand, three hundred sixteen".