8803408416 has 96 divisors (see below), whose sum is σ = 25240190976. Its totient is φ = 2664480000.

The previous prime is 8803408381. The next prime is 8803408417. The reversal of 8803408416 is 6148043088.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8803408417) 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, 957441 + ... + 966591.

It is an arithmetic number, because the mean of its divisors is an integer number (262918656).

Almost surely, 2^8803408416 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 8803408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620095488).

8803408416 is an abundant number, since it is smaller than the sum of its proper divisors (16436782560).

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

8803408416 is a wasteful number, since it uses less digits than its factorization.

8803408416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10086 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 8803408416 is about 93826.4803560274. The cubic root of 8803408416 is about 2064.8267449965.

The spelling of 8803408416 in words is "eight billion, eight hundred three million, four hundred eight thousand, four hundred sixteen".