1803663144 has 192 divisors, whose sum is σ = 5359011840. Its totient is φ = 545771520.

The previous prime is 1803663137. The next prime is 1803663167. The reversal of 1803663144 is 4413663081.

It is a happy number.

1803663144 is a `hidden beast` number, since 18 + 0 + 3 + 6 + 631 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1803663099 and 1803663108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6373227 + ... + 6373509.

It is an arithmetic number, because the mean of its divisors is an integer number (27911520).

Almost surely, 2^1803663144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1803663144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679505920).

1803663144 is an abundant number, since it is smaller than the sum of its proper divisors (3555348696).

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

1803663144 is a wasteful number, since it uses less digits than its factorization.

1803663144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1803663144 is about 42469.5554956724. Note that the first 3 decimals coincide. The cubic root of 1803663144 is about 1217.2650244837.

The spelling of 1803663144 in words is "one billion, eight hundred three million, six hundred sixty-three thousand, one hundred forty-four".