18145440000 has 270 divisors, whose sum is σ = 65381482166. Its totient is φ = 4838400000.

The previous prime is 18145439951. The next prime is 18145440013. The reversal of 18145440000 is 4454181.

It is a happy number.

18145440000 is a `hidden beast` number, since 181 + 45 + 440 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 8528891904 + 9616548096 = 92352^2 + 98064^2 .

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 29 ways as a sum of consecutive naturals, for example, 1433700 + ... + 1446300.

Almost surely, 2^18145440000 is an apocalyptic number.

18145440000 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 18145440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32690741083).

18145440000 is an abundant number, since it is smaller than the sum of its proper divisors (47236042166).

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

18145440000 is an equidigital number, since it uses as much as digits as its factorization.

18145440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12643 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 18145440000 its reverse (4454181), we get a palindrome (18149894181).

The spelling of 18145440000 in words is "eighteen billion, one hundred forty-five million, four hundred forty thousand".