8814516320 has 96 divisors (see below), whose sum is σ = 23008079808. Its totient is φ = 3174105088.

The previous prime is 8814516247. The next prime is 8814516329. The reversal of 8814516320 is 236154188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8814516329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7889 + ... + 133008.

It is an arithmetic number, because the mean of its divisors is an integer number (239667498).

Almost surely, 2^8814516320 is an apocalyptic number.

8814516320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8814516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11504039904).

8814516320 is an abundant number, since it is smaller than the sum of its proper divisors (14193563488).

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

8814516320 is a wasteful number, since it uses less digits than its factorization.

8814516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140952 (or 140944 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 8814516320 is about 93885.6555603677. The cubic root of 8814516320 is about 2065.6948276110.

The spelling of 8814516320 in words is "eight billion, eight hundred fourteen million, five hundred sixteen thousand, three hundred twenty".