8416516864 has 72 divisors (see below), whose sum is σ = 19819670528. Its totient is φ = 3490698240.

The previous prime is 8416516853. The next prime is 8416516879. The reversal of 8416516864 is 4686156148.

It is a super-2 number, since 2×8416516864² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20202 + ... + 131305.

Almost surely, 2^8416516864 is an apocalyptic number.

It is an amenable number.

8416516864 is an abundant number, since it is smaller than the sum of its proper divisors (11403153664).

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

8416516864 is a wasteful number, since it uses less digits than its factorization.

8416516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151561 (or 151547 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

The square root of 8416516864 is about 91741.5765288563. The cubic root of 8416516864 is about 2034.1241969021.

The spelling of 8416516864 in words is "eight billion, four hundred sixteen million, five hundred sixteen thousand, eight hundred sixty-four".