8896141296 has 480 divisors, whose sum is σ = 31198003200. Its totient is φ = 2359526400.

The previous prime is 8896141283. The next prime is 8896141321. The reversal of 8896141296 is 6921416988.

8896141296 is a `hidden beast` number, since 8 + 8 + 9 + 614 + 12 + 9 + 6 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 46576561 + ... + 46576751.

It is an arithmetic number, because the mean of its divisors is an integer number (64995840).

Almost surely, 2^8896141296 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 8896141296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599001600).

8896141296 is an abundant number, since it is smaller than the sum of its proper divisors (22301861904).

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

8896141296 is a wasteful number, since it uses less digits than its factorization.

8896141296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 8896141296 is about 94319.3580130823. The cubic root of 8896141296 is about 2072.0515570322.

The spelling of 8896141296 in words is "eight billion, eight hundred ninety-six million, one hundred forty-one thousand, two hundred ninety-six".