871994846016 has 1344 divisors, whose sum is σ = 3255006504960. Its totient is φ = 227621560320.

The previous prime is 871994845921. The next prime is 871994846029. The reversal of 871994846016 is 610648499178.

871994846016 is a `hidden beast` number, since 8 + 7 + 1 + 99 + 484 + 60 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×871994846016² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5349661551 + ... + 5349661713.

It is an arithmetic number, because the mean of its divisors is an integer number (2421879840).

Almost surely, 2^871994846016 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 871994846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627503252480).

871994846016 is an abundant number, since it is smaller than the sum of its proper divisors (2383011658944).

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

871994846016 is a wasteful number, since it uses less digits than its factorization.

871994846016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 871994846016 in words is "eight hundred seventy-one billion, nine hundred ninety-four million, eight hundred forty-six thousand, sixteen".