221412432147617 has 24 divisors (see below), whose sum is σ = 235925885226024. Its totient is φ = 207700719209984.

The previous prime is 221412432147589. The next prime is 221412432147653. The reversal of 221412432147617 is 716741234214122.

It can be written as a sum of positive squares in 4 ways, for example, as 73448173776481 + 147964258371136 = 8570191^2 + 12164056^2 .

It is not a de Polignac number, because 221412432147617 - 2¹⁶ = 221412432082081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221412432147017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63717833 + ... + 67102809.

It is an arithmetic number, because the mean of its divisors is an integer number (9830245217751).

Almost surely, 2^{221412432147617} is an apocalyptic number.

It is an amenable number.

221412432147617 is a deficient number, since it is larger than the sum of its proper divisors (14513453078407).

221412432147617 is a wasteful number, since it uses less digits than its factorization.

221412432147617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387409 (or 3387386 counting only the distinct ones).

The product of its digits is 903168, while the sum is 47.

The spelling of 221412432147617 in words is "two hundred twenty-one trillion, four hundred twelve billion, four hundred thirty-two million, one hundred forty-seven thousand, six hundred seventeen".