221312032441 has 8 divisors (see below), whose sum is σ = 222353094600. Its totient is φ = 220272365568.

The previous prime is 221312032429. The next prime is 221312032453. The reversal of 221312032441 is 144230213122.

It is an interprime number because it is at equal distance from previous prime (221312032429) and next prime (221312032453).

It can be written as a sum of positive squares in 4 ways, for example, as 95159910400 + 126152122041 = 308480^2 + 355179^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221312032441 - 2¹³ = 221312024249 is a prime.

It is a super-4 number, since 4×221312032441⁴ (a number of 46 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221312032741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30166 + ... + 665983.

It is an arithmetic number, because the mean of its divisors is an integer number (27794136825).

Almost surely, 2^221312032441 is an apocalyptic number.

It is an amenable number.

221312032441 is a deficient number, since it is larger than the sum of its proper divisors (1041062159).

221312032441 is a wasteful number, since it uses less digits than its factorization.

221312032441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697643.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 221312032441 its reverse (144230213122), we get a palindrome (365542245563).

The spelling of 221312032441 in words is "two hundred twenty-one billion, three hundred twelve million, thirty-two thousand, four hundred forty-one".