221524272005141 has 12 divisors (see below), whose sum is σ = 259181046340812. Its totient is φ = 188780387035968.

The previous prime is 221524272005083. The next prime is 221524272005159. The reversal of 221524272005141 is 141500272425122.

It can be written as a sum of positive squares in 2 ways, for example, as 150188578971025 + 71335693034116 = 12255145^2 + 8446046^2 .

It is not a de Polignac number, because 221524272005141 - 2⁶ = 221524272005077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221524272005095 and 221524272005104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221524272005041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13066186640 + ... + 13066203593.

It is an arithmetic number, because the mean of its divisors is an integer number (21598420528401).

Almost surely, 2^{221524272005141} is an apocalyptic number.

It is an amenable number.

221524272005141 is a deficient number, since it is larger than the sum of its proper divisors (37656774335671).

221524272005141 is a wasteful number, since it uses less digits than its factorization.

221524272005141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26132390420 (or 26132390413 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 38.

The spelling of 221524272005141 in words is "two hundred twenty-one trillion, five hundred twenty-four billion, two hundred seventy-two million, five thousand, one hundred forty-one".