18445988160 has 168 divisors, whose sum is σ = 63558045096. Its totient is φ = 4910284800.

The previous prime is 18445988117. The next prime is 18445988179. The reversal of 18445988160 is 6188954481.

It is a happy number.

18445988160 is a `hidden beast` number, since 1 + 8 + 44 + 598 + 8 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 983951424 + 17462036736 = 31368^2 + 132144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18445988097 and 18445988106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1725552 + ... + 1736208.

It is an arithmetic number, because the mean of its divisors is an integer number (378321697).

Almost surely, 2^18445988160 is an apocalyptic number.

18445988160 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 18445988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31779022548).

18445988160 is an abundant number, since it is smaller than the sum of its proper divisors (45112056936).

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

18445988160 is a wasteful number, since it uses less digits than its factorization.

18445988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11281 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 18445988160 in words is "eighteen billion, four hundred forty-five million, nine hundred eighty-eight thousand, one hundred sixty".