871873234848 has 288 divisors, whose sum is σ = 3253882544640. Its totient is φ = 214541498880.

The previous prime is 871873234847. The next prime is 871873234877. The reversal of 871873234848 is 848432378178.

It is a happy number.

871873234848 is a `hidden beast` number, since 8 + 71 + 87 + 3 + 2 + 3 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (871873234847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613290 + ... + 1455977.

It is an arithmetic number, because the mean of its divisors is an integer number (11298203280).

Almost surely, 2^871873234848 is an apocalyptic number.

871873234848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

871873234848 is an abundant number, since it is smaller than the sum of its proper divisors (2382009309792).

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

871873234848 is a wasteful number, since it uses less digits than its factorization.

871873234848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069320 (or 2069309 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 871873234848 in words is "eight hundred seventy-one billion, eight hundred seventy-three million, two hundred thirty-four thousand, eight hundred forty-eight".