221412556334441 has 16 divisors (see below), whose sum is σ = 235868645575440. Its totient is φ = 207118712586240.

The previous prime is 221412556334413. The next prime is 221412556334467. The reversal of 221412556334441 is 144433655214122.

221412556334441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 49272383486041 + 172140172848400 = 7019429^2 + 13120220^2 .

It is a cyclic number.

It is not a de Polignac number, because 221412556334441 - 2¹⁰ = 221412556333417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221412556334471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47038430 + ... + 51530951.

It is an arithmetic number, because the mean of its divisors is an integer number (14741790348465).

Almost surely, 2^{221412556334441} is an apocalyptic number.

It is an amenable number.

221412556334441 is a deficient number, since it is larger than the sum of its proper divisors (14456089240999).

221412556334441 is a wasteful number, since it uses less digits than its factorization.

221412556334441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98570204.

The product of its digits is 2764800, while the sum is 47.

The spelling of 221412556334441 in words is "two hundred twenty-one trillion, four hundred twelve billion, five hundred fifty-six million, three hundred thirty-four thousand, four hundred forty-one".