886144896 has 384 divisors, whose sum is σ = 3207859200. Its totient is φ = 228593664.

The previous prime is 886144867. The next prime is 886144927. The reversal of 886144896 is 698441688.

886144896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8281675 + ... + 8281781.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^886144896 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 886144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

886144896 is an abundant number, since it is smaller than the sum of its proper divisors (2321714304).

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

886144896 is a wasteful number, since it uses less digits than its factorization.

886144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 886144896 is about 29768.1859709321. The cubic root of 886144896 is about 960.5093130774.

The spelling of 886144896 in words is "eight hundred eighty-six million, one hundred forty-four thousand, eight hundred ninety-six".