21535233328449 has 45 divisors (see below), whose sum is σ = 33243129778419. Its totient is φ = 13892863612320.

The previous prime is 21535233328439. The next prime is 21535233328471. The reversal of 21535233328449 is 94482333253512.

The square root of 21535233328449 is 4640607.

It is a perfect power (a square), and thus also a powerful number.

21535233328449 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 523 + 3 + 32 + 84 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3055276764225 + 18479956564224 = 1747935^2 + 4298832^2 .

It is not a de Polignac number, because 21535233328449 - 2⁵ = 21535233328417 is a prime.

It is a super-2 number, since 2×21535233328449² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21535233328395 and 21535233328404.

It is not an unprimeable number, because it can be changed into a prime (21535233328439) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1294721037 + ... + 1294737669.

Almost surely, 2^{21535233328449} is an apocalyptic number.

21535233328449 is the 4640607-th square number.

21535233328449 is the 2320304-th centered octagonal number.

It is an amenable number.

21535233328449 is a deficient number, since it is larger than the sum of its proper divisors (11707896449970).

21535233328449 is an frugal number, since it uses more digits than its factorization.

21535233328449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33340 (or 16667 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 21535233328449 in words is "twenty-one trillion, five hundred thirty-five billion, two hundred thirty-three million, three hundred twenty-eight thousand, four hundred forty-nine".