8916009168 has 160 divisors (see below), whose sum is σ = 26228499840. Its totient is φ = 2585067520.

The previous prime is 8916009127. The next prime is 8916009173. The reversal of 8916009168 is 8619006198.

It is a Harshad number since it is a multiple of its sum of digits (48).

8916009168 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727680 + ... + 1732832.

It is an arithmetic number, because the mean of its divisors is an integer number (163928124).

Almost surely, 2^8916009168 is an apocalyptic number.

8916009168 is a gapful number since it is divisible by the number (88) 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 8916009168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13114249920).

8916009168 is an abundant number, since it is smaller than the sum of its proper divisors (17312490672).

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

8916009168 is a wasteful number, since it uses less digits than its factorization.

8916009168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 8916009168 is about 94424.6216195755. The cubic root of 8916009168 is about 2073.5929236858.

The spelling of 8916009168 in words is "eight billion, nine hundred sixteen million, nine thousand, one hundred sixty-eight".