221623431352465 has 16 divisors (see below), whose sum is σ = 267894203720400. Its totient is φ = 176001401297920.

The previous prime is 221623431352439. The next prime is 221623431352469. The reversal of 221623431352465 is 564253134326122.

It can be written as a sum of positive squares in 8 ways, for example, as 414952412224 + 221208478940241 = 644168^2 + 14873079^2 .

It is not a de Polignac number, because 221623431352465 - 2¹⁷ = 221623431221393 is a prime.

It is a super-3 number, since 3×221623431352465³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221623431352469) 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, 35221461 + ... + 41034109.

It is an arithmetic number, because the mean of its divisors is an integer number (16743387732525).

Almost surely, 2^{221623431352465} is an apocalyptic number.

It is an amenable number.

221623431352465 is a deficient number, since it is larger than the sum of its proper divisors (46270772367935).

221623431352465 is a wasteful number, since it uses less digits than its factorization.

221623431352465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868452.

The product of its digits is 6220800, while the sum is 49.

Adding to 221623431352465 its reverse (564253134326122), we get a palindrome (785876565678587).

The spelling of 221623431352465 in words is "two hundred twenty-one trillion, six hundred twenty-three billion, four hundred thirty-one million, three hundred fifty-two thousand, four hundred sixty-five".