18653128440 has 128 divisors (see below), whose sum is σ = 56724909120. Its totient is φ = 4906496000.

The previous prime is 18653128423. The next prime is 18653128441. The reversal of 18653128440 is 4482135681.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18653128392 and 18653128401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18653128441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402982 + ... + 3408458.

Almost surely, 2^18653128440 is an apocalyptic number.

18653128440 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 18653128440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28362454560).

18653128440 is an abundant number, since it is smaller than the sum of its proper divisors (38071780680).

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

18653128440 is a wasteful number, since it uses less digits than its factorization.

18653128440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 18653128440 in words is "eighteen billion, six hundred fifty-three million, one hundred twenty-eight thousand, four hundred forty".