518842368 has 192 divisors, whose sum is σ = 1678622400. Its totient is φ = 157040640.

The previous prime is 518842361. The next prime is 518842391. The reversal of 518842368 is 863248815.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (518842361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607830 + ... + 608682.

It is an arithmetic number, because the mean of its divisors is an integer number (8742825).

Almost surely, 2^518842368 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 518842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839311200).

518842368 is an abundant number, since it is smaller than the sum of its proper divisors (1159780032).

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

518842368 is a wasteful number, since it uses less digits than its factorization.

518842368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 869 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 518842368 is about 22778.1115986378. Note that the first 3 decimals coincide. The cubic root of 518842368 is about 803.5479749142.

The spelling of 518842368 in words is "five hundred eighteen million, eight hundred forty-two thousand, three hundred sixty-eight".