12830216616 has 160 divisors (see below), whose sum is σ = 41633951040. Its totient is φ = 3615466752.

The previous prime is 12830216599. The next prime is 12830216647. The reversal of 12830216616 is 61661203821.

It is a happy number.

12830216616 is a `hidden beast` number, since 1 + 2 + 8 + 30 + 2 + 1 + 6 + 616 = 666.

It is a super-2 number, since 2×12830216616² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311755 + ... + 350501.

It is an arithmetic number, because the mean of its divisors is an integer number (260212194).

Almost surely, 2^12830216616 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 12830216616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20816975520).

12830216616 is an abundant number, since it is smaller than the sum of its proper divisors (28803734424).

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

12830216616 is a wasteful number, since it uses less digits than its factorization.

12830216616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38845 (or 38832 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12830216616 in words is "twelve billion, eight hundred thirty million, two hundred sixteen thousand, six hundred sixteen".