18189281376 has 576 divisors, whose sum is σ = 66189312000. Its totient is φ = 4828336128.

The previous prime is 18189281353. The next prime is 18189281377. The reversal of 18189281376 is 67318298181.

18189281376 is a `hidden beast` number, since 18 + 189 + 2 + 81 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18189281377) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 91403325 + ... + 91403523.

It is an arithmetic number, because the mean of its divisors is an integer number (114912000).

Almost surely, 2^18189281376 is an apocalyptic number.

18189281376 is a gapful number since it is divisible by the number (16) 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 18189281376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33094656000).

18189281376 is an abundant number, since it is smaller than the sum of its proper divisors (48000030624).

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

18189281376 is a wasteful number, since it uses less digits than its factorization.

18189281376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 18189281376 in words is "eighteen billion, one hundred eighty-nine million, two hundred eighty-one thousand, three hundred seventy-six".