518094144 has 140 divisors (see below), whose sum is σ = 1548993600. Its totient is φ = 171217152.

The previous prime is 518094139. The next prime is 518094151. The reversal of 518094144 is 441490815.

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

It is a junction number, because it is equal to n+sod(n) for n = 518094099 and 518094108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 720217 + ... + 720935.

It is an arithmetic number, because the mean of its divisors is an integer number (11064240).

Almost surely, 2^518094144 is an apocalyptic number.

518094144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774496800).

518094144 is an abundant number, since it is smaller than the sum of its proper divisors (1030899456).

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

518094144 is a wasteful number, since it uses less digits than its factorization.

518094144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 518094144 is about 22761.6814844598. The cubic root of 518094144 is about 803.1615228416.

The spelling of 518094144 in words is "five hundred eighteen million, ninety-four thousand, one hundred forty-four".