18457059484224 has 105 divisors (see below), whose sum is σ = 54713423332777. Its totient is φ = 6152250053376.

The previous prime is 18457059484217. The next prime is 18457059484261. The reversal of 18457059484224 is 42248495075481.

The square root of 18457059484224 is 4296168.

It is a perfect power (a square), and thus also a powerful number.

18457059484224 is a `hidden beast` number, since 1 + 8 + 4 + 570 + 59 + 4 + 8 + 4 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14903985282624 + 3553074201600 = 3860568^2 + 1884960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 309294262 + ... + 309353930.

Almost surely, 2^{18457059484224} is an apocalyptic number.

18457059484224 is the 4296168-th square number.

It is an amenable number.

18457059484224 is an abundant number, since it is smaller than the sum of its proper divisors (36256363848553).

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

18457059484224 is an frugal number, since it uses more digits than its factorization.

18457059484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119362 (or 59674 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 18457059484224 in words is "eighteen trillion, four hundred fifty-seven billion, fifty-nine million, four hundred eighty-four thousand, two hundred twenty-four".