4223516616 has 288 divisors, whose sum is σ = 13242411000. Its totient is φ = 1213470720.

The previous prime is 4223516513. The next prime is 4223516617. The reversal of 4223516616 is 6166153224.

4223516616 is a `hidden beast` number, since 4 + 2 + 2 + 35 + 1 + 6 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4192044516 + 31472100 = 64746^2 + 5610^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4223516617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18443190 + ... + 18443418.

Almost surely, 2^4223516616 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 4223516616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621205500).

4223516616 is an abundant number, since it is smaller than the sum of its proper divisors (9018894384).

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

4223516616 is a wasteful number, since it uses less digits than its factorization.

4223516616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 4223516616 is about 64988.5883521099. The cubic root of 4223516616 is about 1616.4343433092.

The spelling of 4223516616 in words is "four billion, two hundred twenty-three million, five hundred sixteen thousand, six hundred sixteen".