18283224960 has 1536 divisors, whose sum is σ = 89079782400. Its totient is φ = 3483648000.

The previous prime is 18283224901. The next prime is 18283224961. The reversal of 18283224960 is 6942238281.

18283224960 is a `hidden beast` number, since 1 + 82 + 83 + 2 + 2 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18283224961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121080885 + ... + 121081035.

It is an arithmetic number, because the mean of its divisors is an integer number (57994650).

Almost surely, 2^18283224960 is an apocalyptic number.

18283224960 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 18283224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44539891200).

18283224960 is an abundant number, since it is smaller than the sum of its proper divisors (70796557440).

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

18283224960 is a wasteful number, since it uses less digits than its factorization.

18283224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18283224960 in words is "eighteen billion, two hundred eighty-three million, two hundred twenty-four thousand, nine hundred sixty".