8834718816 has 576 divisors, whose sum is σ = 33342865920. Its totient is φ = 2249856000.

The previous prime is 8834718793. The next prime is 8834718817. The reversal of 8834718816 is 6188174388.

It is a happy number.

8834718816 is a `hidden beast` number, since 8 + 83 + 471 + 88 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8834718817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28407301 + ... + 28407611.

It is an arithmetic number, because the mean of its divisors is an integer number (57886920).

Almost surely, 2^8834718816 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 8834718816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671432960).

8834718816 is an abundant number, since it is smaller than the sum of its proper divisors (24508147104).

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

8834718816 is a wasteful number, since it uses less digits than its factorization.

8834718816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 8834718816 is about 93993.1849444416. The cubic root of 8834718816 is about 2067.2717849736.

The spelling of 8834718816 in words is "eight billion, eight hundred thirty-four million, seven hundred eighteen thousand, eight hundred sixteen".