4186607616 has 117 divisors (see below), whose sum is σ = 12129159081. Its totient is φ = 1391394816.

The previous prime is 4186607603. The next prime is 4186607617. The reversal of 4186607616 is 6167066814.

The square root of 4186607616 is 64704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1128960000 + 3057647616 = 33600^2 + 55296^2 .

It is not an unprimeable number, because it can be changed into a prime (4186607617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12423000 + ... + 12423336.

Almost surely, 2^4186607616 is an apocalyptic number.

4186607616 is the 64704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4186607616

4186607616 is an abundant number, since it is smaller than the sum of its proper divisors (7942551465).

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

4186607616 is an frugal number, since it uses more digits than its factorization.

4186607616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 4186607616 is about 1611.7119267178.

The spelling of 4186607616 in words is "four billion, one hundred eighty-six million, six hundred seven thousand, six hundred sixteen".