1803349800306 has 192 divisors, whose sum is σ = 4241450304000. Its totient is φ = 551699140608.

The previous prime is 1803349800283. The next prime is 1803349800331. The reversal of 1803349800306 is 6030089433081.

1803349800306 is a `hidden beast` number, since 1 + 8 + 0 + 334 + 9 + 8 + 0 + 0 + 306 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 795477385 + ... + 795479651.

It is an arithmetic number, because the mean of its divisors is an integer number (22090887000).

Almost surely, 2^{1803349800306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1803349800306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120725152000).

1803349800306 is an abundant number, since it is smaller than the sum of its proper divisors (2438100503694).

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

1803349800306 is a wasteful number, since it uses less digits than its factorization.

1803349800306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1803349800306 in words is "one trillion, eight hundred three billion, three hundred forty-nine million, eight hundred thousand, three hundred six".