18849508160 has 168 divisors, whose sum is σ = 54015391080. Its totient is φ = 6239686656.

The previous prime is 18849508157. The next prime is 18849508177. The reversal of 18849508160 is 6180594881.

It can be written as a sum of positive squares in 4 ways, for example, as 133079296 + 18716428864 = 11536^2 + 136808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18849508099 and 18849508108.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 433994 + ... + 475446.

It is an arithmetic number, because the mean of its divisors is an integer number (321520185).

Almost surely, 2^18849508160 is an apocalyptic number.

18849508160 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 18849508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007695540).

18849508160 is an abundant number, since it is smaller than the sum of its proper divisors (35165882920).

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

18849508160 is a wasteful number, since it uses less digits than its factorization.

18849508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41513 (or 41496 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 50.

The spelling of 18849508160 in words is "eighteen billion, eight hundred forty-nine million, five hundred eight thousand, one hundred sixty".