4350200112216 has 288 divisors, whose sum is σ = 14325767295840. Its totient is φ = 1167984746496.

The previous prime is 4350200112211. The next prime is 4350200112221. The reversal of 4350200112216 is 6122110020534.

4350200112216 is a `hidden beast` number, since 43 + 502 + 0 + 0 + 112 + 2 + 1 + 6 = 666.

4350200112216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4350200112211) and next prime (4350200112221).

It is a self number, because there is not a number n which added to its sum of digits gives 4350200112216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4350200112211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95090500 + ... + 95136236.

It is an arithmetic number, because the mean of its divisors is an integer number (49742247555).

Almost surely, 2^{4350200112216} 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 4350200112216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162883647920).

4350200112216 is an abundant number, since it is smaller than the sum of its proper divisors (9975567183624).

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

4350200112216 is a wasteful number, since it uses less digits than its factorization.

4350200112216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46443 (or 46419 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 4350200112216 in words is "four trillion, three hundred fifty billion, two hundred million, one hundred twelve thousand, two hundred sixteen".