871705575416241 has 40 divisors (see below), whose sum is σ = 1318668388963200. Its totient is φ = 573777549689760.

The previous prime is 871705575416233. The next prime is 871705575416243. The reversal of 871705575416241 is 142614575507178.

871705575416241 is a `hidden beast` number, since 8 + 7 + 1 + 7 + 0 + 5 + 575 + 4 + 16 + 2 + 41 = 666.

It is not a de Polignac number, because 871705575416241 - 2³ = 871705575416233 is a prime.

It is a super-2 number, since 2×871705575416241² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (871705575416243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1616188155 + ... + 1616727423.

It is an arithmetic number, because the mean of its divisors is an integer number (32966709724080).

Almost surely, 2^{871705575416241} is an apocalyptic number.

871705575416241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

871705575416241 is a deficient number, since it is larger than the sum of its proper divisors (446962813546959).

871705575416241 is a wasteful number, since it uses less digits than its factorization.

871705575416241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791971 (or 791962 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 63.

The spelling of 871705575416241 in words is "eight hundred seventy-one trillion, seven hundred five billion, five hundred seventy-five million, four hundred sixteen thousand, two hundred forty-one".