2221414656561 has 12 divisors (see below), whose sum is σ = 3208727033460. Its totient is φ = 1480935270240.

The previous prime is 2221414656547. The next prime is 2221414656569. The reversal of 2221414656561 is 1656564141222.

2221414656561 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 41 + 46 + 5 + 6 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 984548155536 + 1236866501025 = 992244^2 + 1112145^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2221414656561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2221414656569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1525591 + ... + 2601971.

It is an arithmetic number, because the mean of its divisors is an integer number (267393919455).

Almost surely, 2^{2221414656561} is an apocalyptic number.

It is an amenable number.

2221414656561 is a deficient number, since it is larger than the sum of its proper divisors (987312376899).

2221414656561 is a wasteful number, since it uses less digits than its factorization.

2221414656561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305696 (or 1305693 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

Adding to 2221414656561 its reverse (1656564141222), we get a palindrome (3877978797783).

The spelling of 2221414656561 in words is "two trillion, two hundred twenty-one billion, four hundred fourteen million, six hundred fifty-six thousand, five hundred sixty-one".