18479956564224 has 729 divisors, whose sum is σ = 57710454379851. Its totient is φ = 5905563448320.

The previous prime is 18479956564219. The next prime is 18479956564231. The reversal of 18479956564224 is 42246565997481.

The square root of 18479956564224 is 4298832.

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

18479956564224 is a `hidden beast` number, since 1 + 8 + 4 + 7 + 9 + 9 + 56 + 564 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 172709874379 + ... + 172709874485.

Almost surely, 2^{18479956564224} is an apocalyptic number.

18479956564224 is the 4298832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18479956564224

18479956564224 is an abundant number, since it is smaller than the sum of its proper divisors (39230497815627).

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

18479956564224 is an frugal number, since it uses more digits than its factorization.

18479956564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 143 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 18479956564224 in words is "eighteen trillion, four hundred seventy-nine billion, nine hundred fifty-six million, five hundred sixty-four thousand, two hundred twenty-four".