18156864000 has 320 divisors, whose sum is σ = 65862605952. Its totient is φ = 4401152000.

The previous prime is 18156863971. The next prime is 18156864001. The reversal of 18156864000 is 46865181.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 18156864000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18156864001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2107702 + ... + 2116298.

Almost surely, 2^18156864000 is an apocalyptic number.

18156864000 is a gapful number since it is divisible by the number (10) 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 18156864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931302976).

18156864000 is an abundant number, since it is smaller than the sum of its proper divisors (47705741952).

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

18156864000 is an equidigital number, since it uses as much as digits as its factorization.

18156864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8644 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 18156864000 in words is "eighteen billion, one hundred fifty-six million, eight hundred sixty-four thousand".