4516384464 has 30 divisors (see below), whose sum is σ = 12639604146. Its totient is φ = 1505461440.

The previous prime is 4516384463. The next prime is 4516384501. The reversal of 4516384464 is 4644836154.

4516384464 is a `hidden beast` number, since 4 + 5 + 1 + 638 + 4 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2474067600 + 2042316864 = 49740^2 + 45192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4516384463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15681747 + ... + 15682034.

Almost surely, 2^4516384464 is an apocalyptic number.

It is an amenable number.

4516384464 is an abundant number, since it is smaller than the sum of its proper divisors (8123219682).

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

4516384464 is a wasteful number, since it uses less digits than its factorization.

4516384464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31363795 (or 31363786 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4516384464 is about 67204.0509493289. The cubic root of 4516384464 is about 1652.9649126339.

The spelling of 4516384464 in words is "four billion, five hundred sixteen million, three hundred eighty-four thousand, four hundred sixty-four".