871334346935808 has 320 divisors, whose sum is σ = 2948403522240000. Its totient is φ = 248890615529472.

The previous prime is 871334346935797. The next prime is 871334346935831. The reversal of 871334346935808 is 808539643433178.

871334346935808 is a `hidden beast` number, since 8 + 7 + 1 + 3 + 3 + 4 + 34 + 6 + 9 + 3 + 580 + 8 = 666.

It is a super-2 number, since 2×871334346935808² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387790368 + ... + 390030816.

It is an arithmetic number, because the mean of its divisors is an integer number (9213761007000).

Almost surely, 2^{871334346935808} 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 871334346935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474201761120000).

871334346935808 is an abundant number, since it is smaller than the sum of its proper divisors (2077069175304192).

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

871334346935808 is a wasteful number, since it uses less digits than its factorization.

871334346935808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244502 (or 2244480 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 871334346935808 in words is "eight hundred seventy-one trillion, three hundred thirty-four billion, three hundred forty-six million, nine hundred thirty-five thousand, eight hundred eight".