18528451344 has 120 divisors (see below), whose sum is σ = 56758497432. Its totient is φ = 5607567360.

The previous prime is 18528451307. The next prime is 18528451363. The reversal of 18528451344 is 44315482581.

18528451344 is a `hidden beast` number, since 1 + 8 + 52 + 84 + 513 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2818335744 + 15710115600 = 53088^2 + 125340^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18528451344.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33064 + ... + 195320.

Almost surely, 2^18528451344 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 18528451344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28379248716).

18528451344 is an abundant number, since it is smaller than the sum of its proper divisors (38230046088).

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

18528451344 is a wasteful number, since it uses less digits than its factorization.

18528451344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162345 (or 162336 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 18528451344 in words is "eighteen billion, five hundred twenty-eight million, four hundred fifty-one thousand, three hundred forty-four".