18008643132 has 288 divisors, whose sum is σ = 50721914880. Its totient is φ = 5369569920.

The previous prime is 18008643089. The next prime is 18008643151. The reversal of 18008643132 is 23134680081.

18008643132 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 8 + 643 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×18008643132² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168305023 + ... + 168305129.

It is an arithmetic number, because the mean of its divisors is an integer number (176117760).

Almost surely, 2^18008643132 is an apocalyptic number.

18008643132 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 18008643132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440).

18008643132 is an abundant number, since it is smaller than the sum of its proper divisors (32713271748).

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

18008643132 is a wasteful number, since it uses less digits than its factorization.

18008643132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18008643132 in words is "eighteen billion, eight million, six hundred forty-three thousand, one hundred thirty-two".