18648532224 has 324 divisors, whose sum is σ = 64874156256. Its totient is φ = 5046147072.

The previous prime is 18648532219. The next prime is 18648532289. The reversal of 18648532224 is 42223584681.

It is a self number, because there is not a number n which added to its sum of digits gives 18648532224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5820607 + ... + 5823809.

Almost surely, 2^18648532224 is an apocalyptic number.

18648532224 is a gapful number since it is divisible by the number (14) 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 18648532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32437078128).

18648532224 is an abundant number, since it is smaller than the sum of its proper divisors (46225624032).

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

18648532224 is a wasteful number, since it uses less digits than its factorization.

18648532224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3234 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 18648532224 in words is "eighteen billion, six hundred forty-eight million, five hundred thirty-two thousand, two hundred twenty-four".