8388116352 has 960 divisors, whose sum is σ = 33767712000. Its totient is φ = 2037934080.

The previous prime is 8388116327. The next prime is 8388116417. The reversal of 8388116352 is 2536118838.

8388116352 is a `hidden beast` number, since 8 + 3 + 8 + 8 + 1 + 1 + 635 + 2 = 666.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 8388116298 and 8388116307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 106178649 + ... + 106178727.

It is an arithmetic number, because the mean of its divisors is an integer number (35174700).

Almost surely, 2^8388116352 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 8388116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16883856000).

8388116352 is an abundant number, since it is smaller than the sum of its proper divisors (25379595648).

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

8388116352 is a wasteful number, since it uses less digits than its factorization.

8388116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 8388116352 is about 91586.6603387196. The cubic root of 8388116352 is about 2031.8336503828.

The spelling of 8388116352 in words is "eight billion, three hundred eighty-eight million, one hundred sixteen thousand, three hundred fifty-two".