18018072864 has 288 divisors, whose sum is σ = 58238841024. Its totient is φ = 5434490880.

The previous prime is 18018072857. The next prime is 18018072869. The reversal of 18018072864 is 46827081081.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (18018072869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26772432 + ... + 26773104.

It is an arithmetic number, because the mean of its divisors is an integer number (202218198).

Almost surely, 2^18018072864 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 18018072864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29119420512).

18018072864 is an abundant number, since it is smaller than the sum of its proper divisors (40220768160).

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

18018072864 is a wasteful number, since it uses less digits than its factorization.

18018072864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 18018072864 in words is "eighteen billion, eighteen million, seventy-two thousand, eight hundred sixty-four".