18140241600 has 1008 divisors, whose sum is σ = 74714433248. Its totient is φ = 4299816960.

The previous prime is 18140241547. The next prime is 18140241619. The reversal of 18140241600 is 614204181.

It is a happy number.

18140241600 is a `hidden beast` number, since 1 + 8 + 14 + 0 + 2 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 187012752 + ... + 187012848.

Almost surely, 2^18140241600 is an apocalyptic number.

18140241600 is a gapful number since it is divisible by the number (10) 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 18140241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37357216624).

18140241600 is an abundant number, since it is smaller than the sum of its proper divisors (56574191648).

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

18140241600 is a wasteful number, since it uses less digits than its factorization.

18140241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 18140241600 its reverse (614204181), we get a palindrome (18754445781).

The spelling of 18140241600 in words is "eighteen billion, one hundred forty million, two hundred forty-one thousand, six hundred".