18006372252 has 240 divisors, whose sum is σ = 53787888000. Its totient is φ = 5202368640.

The previous prime is 18006372247. The next prime is 18006372283. The reversal of 18006372252 is 25227360081.

18006372252 is a `hidden beast` number, since 18 + 0 + 0 + 637 + 2 + 2 + 5 + 2 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8577499 + ... + 8579597.

It is an arithmetic number, because the mean of its divisors is an integer number (224116200).

Almost surely, 2^18006372252 is an apocalyptic number.

18006372252 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 18006372252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26893944000).

18006372252 is an abundant number, since it is smaller than the sum of its proper divisors (35781515748).

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

18006372252 is a wasteful number, since it uses less digits than its factorization.

18006372252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 18006372252 in words is "eighteen billion, six million, three hundred seventy-two thousand, two hundred fifty-two".