221524237502145 has 12 divisors (see below), whose sum is σ = 383975345003796. Its totient is φ = 118146260001120.

The previous prime is 221524237502137. The next prime is 221524237502189. The reversal of 221524237502145 is 541205732425122.

221524237502145 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 2 + 423 + 7 + 5 + 0 + 214 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23497199506881 + 198027037995264 = 4847391^2 + 14072208^2 .

It is not a de Polignac number, because 221524237502145 - 2³ = 221524237502137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 4922760833381 = 221524237502145 / (2 + 2 + 1 + 5 + 2 + 4 + 2 + 3 + 7 + 5 + 0 + 2 + 1 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 221524237502145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2461380416646 + ... + 2461380416735.

It is an arithmetic number, because the mean of its divisors is an integer number (31997945416983).

Almost surely, 2^{221524237502145} is an apocalyptic number.

It is an amenable number.

221524237502145 is a deficient number, since it is larger than the sum of its proper divisors (162451107501651).

221524237502145 is a wasteful number, since it uses less digits than its factorization.

221524237502145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922760833392 (or 4922760833389 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

Adding to 221524237502145 its reverse (541205732425122), we get a palindrome (762729969927267).

The spelling of 221524237502145 in words is "two hundred twenty-one trillion, five hundred twenty-four billion, two hundred thirty-seven million, five hundred two thousand, one hundred forty-five".