871867449745344 has 504 divisors, whose sum is σ = 2721257063647200. Its totient is φ = 266764507176960.

The previous prime is 871867449745337. The next prime is 871867449745349. The reversal of 871867449745344 is 443547944768178.

871867449745344 is a `hidden beast` number, since 8 + 7 + 1 + 8 + 6 + 7 + 4 + 4 + 9 + 74 + 534 + 4 = 666.

871867449745344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871867449745349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18301524277 + ... + 18301571915.

Almost surely, 2^{871867449745344} 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 871867449745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360628531823600).

871867449745344 is an abundant number, since it is smaller than the sum of its proper divisors (1849389613901856).

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

871867449745344 is a wasteful number, since it uses less digits than its factorization.

871867449745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48733 (or 48707 counting only the distinct ones).

The product of its digits is 18207866880, while the sum is 81.

The spelling of 871867449745344 in words is "eight hundred seventy-one trillion, eight hundred sixty-seven billion, four hundred forty-nine million, seven hundred forty-five thousand, three hundred forty-four".