8145917824 has 64 divisors (see below), whose sum is σ = 17741047680. Its totient is φ = 3694835200.

The previous prime is 8145917809. The next prime is 8145917837. The reversal of 8145917824 is 4287195418.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685437 + ... + 697219.

It is an arithmetic number, because the mean of its divisors is an integer number (277203870).

Almost surely, 2^8145917824 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 8145917824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870523840).

8145917824 is an abundant number, since it is smaller than the sum of its proper divisors (9595129856).

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

8145917824 is a wasteful number, since it uses less digits than its factorization.

8145917824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12299 (or 12287 counting only the distinct ones).

The product of its digits is 645120, while the sum is 49.

The square root of 8145917824 is about 90254.7385127230. The cubic root of 8145917824 is about 2012.0866282344.

The spelling of 8145917824 in words is "eight billion, one hundred forty-five million, nine hundred seventeen thousand, eight hundred twenty-four".