8486135424 has 384 divisors, whose sum is σ = 28193518080. Its totient is φ = 2523156480.

The previous prime is 8486135423. The next prime is 8486135447. The reversal of 8486135424 is 4245316848.

8486135424 is a `hidden beast` number, since 8 + 4 + 8 + 613 + 5 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×8486135424³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8486135424.

It is not an unprimeable number, because it can be changed into a prime (8486135423) 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, 12534574 + ... + 12535250.

It is an arithmetic number, because the mean of its divisors is an integer number (73420620).

Almost surely, 2^8486135424 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 8486135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14096759040).

8486135424 is an abundant number, since it is smaller than the sum of its proper divisors (19707382656).

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

8486135424 is a wasteful number, since it uses less digits than its factorization.

8486135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 726 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 8486135424 is about 92120.2226658186. Note that the first 3 decimals coincide. The cubic root of 8486135424 is about 2039.7173310765.

The spelling of 8486135424 in words is "eight billion, four hundred eighty-six million, one hundred thirty-five thousand, four hundred twenty-four".