4665436416 has 81 divisors (see below), whose sum is σ = 13461062979. Its totient is φ = 1554052608.

The previous prime is 4665436381. The next prime is 4665436417. The reversal of 4665436416 is 6146345664.

The square root of 4665436416 is 68304.

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

4665436416 is a `hidden beast` number, since 4 + 66 + 543 + 6 + 41 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4665436417) 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, 3277881 + ... + 3279303.

Almost surely, 2^4665436416 is an apocalyptic number.

4665436416 is the 68304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4665436416

4665436416 is an abundant number, since it is smaller than the sum of its proper divisors (8795626563).

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

4665436416 is an frugal number, since it uses more digits than its factorization.

4665436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 1428 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The cubic root of 4665436416 is about 1670.9524508171.

The spelling of 4665436416 in words is "four billion, six hundred sixty-five million, four hundred thirty-six thousand, four hundred sixteen".