871244445453984 has 4608 divisors, whose sum is σ = 3369026714296320. Its totient is φ = 220316977520640.

The previous prime is 871244445453979. The next prime is 871244445454081. The reversal of 871244445453984 is 489354544442178.

871244445453984 is a `hidden beast` number, since 8 + 7 + 1 + 2 + 4 + 4 + 4 + 4 + 5 + 4 + 539 + 84 = 666.

It is a super-2 number, since 2×871244445453984² (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 an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 6650720957599 + ... + 6650720957729.

It is an arithmetic number, because the mean of its divisors is an integer number (731125589040).

Almost surely, 2^{871244445453984} is an apocalyptic number.

871244445453984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871244445453984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684513357148160).

871244445453984 is an abundant number, since it is smaller than the sum of its proper divisors (2497782268842336).

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

871244445453984 is a wasteful number, since it uses less digits than its factorization.

871244445453984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 299 counting only the distinct ones).

The product of its digits is 2477260800, while the sum is 72.

The spelling of 871244445453984 in words is "eight hundred seventy-one trillion, two hundred forty-four billion, four hundred forty-five million, four hundred fifty-three thousand, nine hundred eighty-four".