18221588064 has 96 divisors (see below), whose sum is σ = 53226966240. Its totient is φ = 6064644096.

The previous prime is 18221588059. The next prime is 18221588081. The reversal of 18221588064 is 46088512281.

18221588064 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 1 + 588 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565804 + ... + 597140.

It is an arithmetic number, because the mean of its divisors is an integer number (554447565).

Almost surely, 2^18221588064 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 18221588064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26613483120).

18221588064 is an abundant number, since it is smaller than the sum of its proper divisors (35005378176).

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

18221588064 is a wasteful number, since it uses less digits than its factorization.

18221588064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32029 (or 32015 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 18221588064 in words is "eighteen billion, two hundred twenty-one million, five hundred eighty-eight thousand, sixty-four".