871945032816 has 1080 divisors, whose sum is σ = 3059346876768. Its totient is φ = 231289344000.

The previous prime is 871945032809. The next prime is 871945032821. The reversal of 871945032816 is 618230549178.

871945032816 is a `hidden beast` number, since 87 + 1 + 9 + 450 + 32 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5774470341 + ... + 5774470491.

It is a 2-persistent number, because it is pandigital, and so is 2⋅871945032816 = 1743890065632, but 3⋅871945032816 = 2615835098448 is not.

Almost surely, 2^871945032816 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 871945032816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529673438384).

871945032816 is an abundant number, since it is smaller than the sum of its proper divisors (2187401843952).

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

871945032816 is a wasteful number, since it uses less digits than its factorization.

871945032816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 871945032816 in words is "eight hundred seventy-one billion, nine hundred forty-five million, thirty-two thousand, eight hundred sixteen".