8416581516 has 144 divisors (see below), whose sum is σ = 25331604480. Its totient is φ = 2306154240.

The previous prime is 8416581491. The next prime is 8416581517. The reversal of 8416581516 is 6151856148.

8416581516 is a `hidden beast` number, since 8 + 4 + 16 + 581 + 51 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (8416581517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602685 + ... + 616491.

It is an arithmetic number, because the mean of its divisors is an integer number (175913920).

Almost surely, 2^8416581516 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 8416581516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12665802240).

8416581516 is an abundant number, since it is smaller than the sum of its proper divisors (16915022964).

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

8416581516 is a wasteful number, since it uses less digits than its factorization.

8416581516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13924 (or 13919 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 8416581516 is about 91741.9288875049. The cubic root of 8416581516 is about 2034.1294053061.

The spelling of 8416581516 in words is "eight billion, four hundred sixteen million, five hundred eighty-one thousand, five hundred sixteen".