16453449441 has 135 divisors (see below), whose sum is σ = 29583834917. Its totient is φ = 8804521440.

The previous prime is 16453449433. The next prime is 16453449457. The reversal of 16453449441 is 14494435461.

16453449441 = 1³ + 2³ + ... + 506³.

The square root of 16453449441 is 128271.

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

16453449441 is a `hidden beast` number, since 164 + 5 + 3 + 4 + 49 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8157883041 + 8295566400 = 90321^2 + 91080^2 .

It is not a de Polignac number, because 16453449441 - 2³ = 16453449433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16453449401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 715367356 + ... + 715367378.

Almost surely, 2^16453449441 is an apocalyptic number.

16453449441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16453449441 is the 128271-st square number.

16453449441 is the 64136-th centered octagonal number.

It is an amenable number.

16453449441 is a deficient number, since it is larger than the sum of its proper divisors (13130385476).

16453449441 is an equidigital number, since it uses as much as digits as its factorization.

16453449441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 50 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 16453449441 in words is "sixteen billion, four hundred fifty-three million, four hundred forty-nine thousand, four hundred forty-one".