1824224224281 has 16 divisors (see below), whose sum is σ = 2501057502144. Its totient is φ = 1181849707584.

The previous prime is 1824224224247. The next prime is 1824224224309.

1824224224281 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1824224224281 - 2²² = 1824220029977 is a prime.

It is a super-2 number, since 2×1824224224281² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1824224224241) 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, 9844390 + ... + 10027983.

It is an arithmetic number, because the mean of its divisors is an integer number (156316093884).

Almost surely, 2^{1824224224281} is an apocalyptic number.

It is an amenable number.

1824224224281 is a deficient number, since it is larger than the sum of its proper divisors (676833277863).

1824224224281 is a wasteful number, since it uses less digits than its factorization.

1824224224281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19873240.

The product of its digits is 262144, while the sum is 42.

The spelling of 1824224224281 in words is "one trillion, eight hundred twenty-four billion, two hundred twenty-four million, two hundred twenty-four thousand, two hundred eighty-one".