1808224992 has 384 divisors, whose sum is σ = 6546355200. Its totient is φ = 473776128.

The previous prime is 1808224987. The next prime is 1808225021. The reversal of 1808224992 is 2994228081.

It is a happy number.

1808224992 is a `hidden beast` number, since 1 + 80 + 82 + 2 + 499 + 2 = 666.

1808224992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4420884 + ... + 4421292.

It is an arithmetic number, because the mean of its divisors is an integer number (17047800).

Almost surely, 2^1808224992 is an apocalyptic number.

1808224992 is a gapful number since it is divisible by the number (12) 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 1808224992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273177600).

1808224992 is an abundant number, since it is smaller than the sum of its proper divisors (4738130208).

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

1808224992 is a wasteful number, since it uses less digits than its factorization.

1808224992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1808224992 is about 42523.2288520051. The cubic root of 1808224992 is about 1218.2904012839.

The spelling of 1808224992 in words is "one billion, eight hundred eight million, two hundred twenty-four thousand, nine hundred ninety-two".