18149182128 has 720 divisors, whose sum is σ = 70214077440. Its totient is φ = 4311014400.

The previous prime is 18149182127. The next prime is 18149182193. The reversal of 18149182128 is 82128194181.

It is a happy number.

18149182128 is a `hidden beast` number, since 1 + 81 + 491 + 82 + 1 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18149182123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45715626 + ... + 45716022.

It is an arithmetic number, because the mean of its divisors is an integer number (97519552).

Almost surely, 2^18149182128 is an apocalyptic number.

18149182128 is a gapful number since it is divisible by the number (18) 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 18149182128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35107038720).

18149182128 is an abundant number, since it is smaller than the sum of its proper divisors (52064895312).

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

18149182128 is a wasteful number, since it uses less digits than its factorization.

18149182128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The spelling of 18149182128 in words is "eighteen billion, one hundred forty-nine million, one hundred eighty-two thousand, one hundred twenty-eight".