221465517441 has 16 divisors (see below), whose sum is σ = 339492056064. Its totient is φ = 125793927504.

The previous prime is 221465517407. The next prime is 221465517451. The reversal of 221465517441 is 144715564122.

221465517441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221465517441 - 2⁹ = 221465516929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221465517393 and 221465517402.

It is not an unprimeable number, because it can be changed into a prime (221465517451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31571275 + ... + 31578288.

It is an arithmetic number, because the mean of its divisors is an integer number (21218253504).

Almost surely, 2^221465517441 is an apocalyptic number.

221465517441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221465517441 is a deficient number, since it is larger than the sum of its proper divisors (118026538623).

221465517441 is a wasteful number, since it uses less digits than its factorization.

221465517441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63149740.

The product of its digits is 268800, while the sum is 42.

The spelling of 221465517441 in words is "two hundred twenty-one billion, four hundred sixty-five million, five hundred seventeen thousand, four hundred forty-one".