891214322125041 has 80 divisors (see below), whose sum is σ = 1370923597890000. Its totient is φ = 576712416264192.

The previous prime is 891214322125021. The next prime is 891214322125063. The reversal of 891214322125041 is 140521223412198.

891214322125041 is a `hidden beast` number, since 8 + 9 + 121 + 4 + 3 + 2 + 2 + 12 + 504 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 97637026511025 + 793577295614016 = 9881145^2 + 28170504^2 .

It is not a de Polignac number, because 891214322125041 - 2²² = 891214317930737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (891214322125021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1144352065 + ... + 1145130593.

It is an arithmetic number, because the mean of its divisors is an integer number (17136544973625).

Almost surely, 2^{891214322125041} is an apocalyptic number.

891214322125041 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

891214322125041 is a deficient number, since it is larger than the sum of its proper divisors (479709275764959).

891214322125041 is a wasteful number, since it uses less digits than its factorization.

891214322125041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781440 (or 781431 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 891214322125041 in words is "eight hundred ninety-one trillion, two hundred fourteen billion, three hundred twenty-two million, one hundred twenty-five thousand, forty-one".