18806150272 has 256 divisors, whose sum is σ = 48191915520. Its totient is φ = 7111802880.

The previous prime is 18806150267. The next prime is 18806150327. The reversal of 18806150272 is 27205160881.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 25310733 + ... + 25311475.

It is an arithmetic number, because the mean of its divisors is an integer number (188249670).

Almost surely, 2^18806150272 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 18806150272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095957760).

18806150272 is an abundant number, since it is smaller than the sum of its proper divisors (29385765248).

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

18806150272 is a wasteful number, since it uses less digits than its factorization.

18806150272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 18806150272 in words is "eighteen billion, eight hundred six million, one hundred fifty thousand, two hundred seventy-two".