821145605611 has 64 divisors (see below), whose sum is σ = 944485401600. Its totient is φ = 709185024000.

The previous prime is 821145605557. The next prime is 821145605629. The reversal of 821145605611 is 116506541128.

It is a cyclic number.

It is not a de Polignac number, because 821145605611 - 2⁹ = 821145605099 is a prime.

It is a super-2 number, since 2×821145605611² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (821145605671) 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 63 ways as a sum of consecutive naturals, for example, 448467466 + ... + 448469296.

It is an arithmetic number, because the mean of its divisors is an integer number (14757584400).

Almost surely, 2^821145605611 is an apocalyptic number.

821145605611 is a deficient number, since it is larger than the sum of its proper divisors (123339795989).

821145605611 is a wasteful number, since it uses less digits than its factorization.

821145605611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260.

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 821145605611 in words is "eight hundred twenty-one billion, one hundred forty-five million, six hundred five thousand, six hundred eleven".