18006147072 has 230 divisors, whose sum is σ = 54811158138. Its totient is φ = 5888802816.

The previous prime is 18006147041. The next prime is 18006147083. The reversal of 18006147072 is 27074160081.

18006147072 is a `hidden beast` number, since 180 + 0 + 6 + 1 + 470 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16647192576 + 1358954496 = 129024^2 + 36864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 339738598 + ... + 339738650.

Almost surely, 2^18006147072 is an apocalyptic number.

18006147072 is a gapful number since it is divisible by the number (12) 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 18006147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27405579069).

18006147072 is an abundant number, since it is smaller than the sum of its proper divisors (36805011066).

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

18006147072 is an frugal number, since it uses more digits than its factorization.

18006147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 18006147072 in words is "eighteen billion, six million, one hundred forty-seven thousand, seventy-two".