16582591449 has 12 divisors (see below), whose sum is σ = 25213297200. Its totient is φ = 10473215544.

The previous prime is 16582591429. The next prime is 16582591463. The reversal of 16582591449 is 94419528561.

16582591449 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 2 + 591 + 4 + 49 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-16582591449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16582591395 and 16582591404.

It is not an unprimeable number, because it can be changed into a prime (16582591429) 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 11 ways as a sum of consecutive naturals, for example, 48486939 + ... + 48487280.

It is an arithmetic number, because the mean of its divisors is an integer number (2101108100).

Almost surely, 2^16582591449 is an apocalyptic number.

16582591449 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

16582591449 is a deficient number, since it is larger than the sum of its proper divisors (8630705751).

16582591449 is a wasteful number, since it uses less digits than its factorization.

16582591449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96974244 (or 96974241 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 16582591449 in words is "sixteen billion, five hundred eighty-two million, five hundred ninety-one thousand, four hundred forty-nine".