221411640711745 has 24 divisors (see below), whose sum is σ = 292050517451112. Its totient is φ = 161022935082240.

The previous prime is 221411640711733. The next prime is 221411640711757. The reversal of 221411640711745 is 547117046114122.

It is an interprime number because it is at equal distance from previous prime (221411640711733) and next prime (221411640711757).

It can be written as a sum of positive squares in 4 ways, for example, as 11107349207361 + 210304291504384 = 3332769^2 + 14501872^2 .

It is not a de Polignac number, because 221411640711745 - 2⁵ = 221411640711713 is a prime.

It is a super-2 number, since 2×221411640711745² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221411640711695 and 221411640711704.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22178997 + ... + 30573373.

It is an arithmetic number, because the mean of its divisors is an integer number (12168771560463).

Almost surely, 2^{221411640711745} is an apocalyptic number.

It is an amenable number.

221411640711745 is a deficient number, since it is larger than the sum of its proper divisors (70638876739367).

221411640711745 is a wasteful number, since it uses less digits than its factorization.

221411640711745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8438001 (or 8437990 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

Adding to 221411640711745 its reverse (547117046114122), we get a palindrome (768528686825867).

The spelling of 221411640711745 in words is "two hundred twenty-one trillion, four hundred eleven billion, six hundred forty million, seven hundred eleven thousand, seven hundred forty-five".