8508436416 has 84 divisors (see below), whose sum is σ = 24522936984. Its totient is φ = 2820441600.

The previous prime is 8508436357. The next prime is 8508436487. The reversal of 8508436416 is 6146348058.

It is a super-2 number, since 2×8508436416² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63451 + ... + 145061.

It is an arithmetic number, because the mean of its divisors is an integer number (291939726).

Almost surely, 2^8508436416 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 8508436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261468492).

8508436416 is an abundant number, since it is smaller than the sum of its proper divisors (16014500568).

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

8508436416 is a wasteful number, since it uses less digits than its factorization.

8508436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81810 (or 81797 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8508436416 is about 92241.1861155308. The cubic root of 8508436416 is about 2041.5025147698.

The spelling of 8508436416 in words is "eight billion, five hundred eight million, four hundred thirty-six thousand, four hundred sixteen".