8881414416 has 180 divisors, whose sum is σ = 29981420352. Its totient is φ = 2403893376.

The previous prime is 8881414391. The next prime is 8881414433. The reversal of 8881414416 is 6144141888.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 351685 + ... + 376091.

Almost surely, 2^8881414416 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 8881414416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14990710176).

8881414416 is an abundant number, since it is smaller than the sum of its proper divisors (21100005936).

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

8881414416 is a wasteful number, since it uses less digits than its factorization.

8881414416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24466 (or 24438 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 8881414416 is about 94241.2564432372. The cubic root of 8881414416 is about 2070.9075513539.

The spelling of 8881414416 in words is "eight billion, eight hundred eighty-one million, four hundred fourteen thousand, four hundred sixteen".