871418072448 has 1280 divisors, whose sum is σ = 3363975014400. Its totient is φ = 217379635200.

The previous prime is 871418072423. The next prime is 871418072471. The reversal of 871418072448 is 844270814178.

871418072448 is a `hidden beast` number, since 8 + 7 + 14 + 180 + 7 + 2 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 871418072394 and 871418072403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2585810136 + ... + 2585810472.

It is an arithmetic number, because the mean of its divisors is an integer number (2628105480).

Almost surely, 2^871418072448 is an apocalyptic number.

871418072448 is a gapful number since it is divisible by the number (88) 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 871418072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681987507200).

871418072448 is an abundant number, since it is smaller than the sum of its proper divisors (2492556941952).

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

871418072448 is a wasteful number, since it uses less digits than its factorization.

871418072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 871418072448 in words is "eight hundred seventy-one billion, four hundred eighteen million, seventy-two thousand, four hundred forty-eight".