1800339417216 has 192 divisors, whose sum is σ = 5289512548320. Its totient is φ = 587632582656.

The previous prime is 1800339417187. The next prime is 1800339417241. The reversal of 1800339417216 is 6127149330081.

1800339417216 is a `hidden beast` number, since 1 + 80 + 0 + 3 + 394 + 172 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10721295 + ... + 10887921.

Almost surely, 2^{1800339417216} is an apocalyptic number.

1800339417216 is a gapful number since it is divisible by the number (16) 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 1800339417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644756274160).

1800339417216 is an abundant number, since it is smaller than the sum of its proper divisors (3489173131104).

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

1800339417216 is a wasteful number, since it uses less digits than its factorization.

1800339417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166843 (or 166828 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1800339417216 in words is "one trillion, eight hundred billion, three hundred thirty-nine million, four hundred seventeen thousand, two hundred sixteen".