1801980216216 has 160 divisors (see below), whose sum is σ = 5379504403680. Its totient is φ = 561582720000.

The previous prime is 1801980216203. The next prime is 1801980216227. The reversal of 1801980216216 is 6126120891081.

It is a happy number.

1801980216216 is a `hidden beast` number, since 1 + 8 + 0 + 19 + 8 + 0 + 2 + 1 + 621 + 6 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1121766 + ... + 2205066.

It is an arithmetic number, because the mean of its divisors is an integer number (33621902523).

Almost surely, 2^{1801980216216} 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 1801980216216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689752201840).

1801980216216 is an abundant number, since it is smaller than the sum of its proper divisors (3577524187464).

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

1801980216216 is a wasteful number, since it uses less digits than its factorization.

1801980216216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083487 (or 1083474 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 1801980216216 in words is "one trillion, eight hundred one billion, nine hundred eighty million, two hundred sixteen thousand, two hundred sixteen".