8011717248 has 128 divisors (see below), whose sum is σ = 22327228800. Its totient is φ = 2541916160.

The previous prime is 8011717187. The next prime is 8011717249. The reversal of 8011717248 is 8427171108.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8011717248² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8011717249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785590 + ... + 795722.

It is an arithmetic number, because the mean of its divisors is an integer number (174431475).

Almost surely, 2^8011717248 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 8011717248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163614400).

8011717248 is an abundant number, since it is smaller than the sum of its proper divisors (14315511552).

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

8011717248 is a wasteful number, since it uses less digits than its factorization.

8011717248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The square root of 8011717248 is about 89508.1965408755. The cubic root of 8011717248 is about 2000.9759610059.

The spelling of 8011717248 in words is "eight billion, eleven million, seven hundred seventeen thousand, two hundred forty-eight".