18152712864 has 288 divisors, whose sum is σ = 62741952000. Its totient is φ = 4902266880.

The previous prime is 18152712839. The next prime is 18152712883. The reversal of 18152712864 is 46821725181.

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

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 47 ways as a sum of consecutive naturals, for example, 1186737 + ... + 1201935.

It is an arithmetic number, because the mean of its divisors is an integer number (217854000).

Almost surely, 2^18152712864 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 18152712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976000).

18152712864 is an abundant number, since it is smaller than the sum of its proper divisors (44589239136).

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

18152712864 is a wasteful number, since it uses less digits than its factorization.

18152712864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15268 (or 15257 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 18152712864 in words is "eighteen billion, one hundred fifty-two million, seven hundred twelve thousand, eight hundred sixty-four".