983577056849 has 32 divisors (see below), whose sum is σ = 1071752774400. Its totient is φ = 900252638208.

The previous prime is 983577056831. The next prime is 983577056879. The reversal of 983577056849 is 948650775389.

It is a cyclic number.

It is not a de Polignac number, because 983577056849 - 2¹² = 983577052753 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (983577056809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10711637 + ... + 10803069.

It is an arithmetic number, because the mean of its divisors is an integer number (33492274200).

Almost surely, 2^983577056849 is an apocalyptic number.

It is an amenable number.

983577056849 is a deficient number, since it is larger than the sum of its proper divisors (88175717551).

983577056849 is a wasteful number, since it uses less digits than its factorization.

983577056849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91721.

The product of its (nonzero) digits is 457228800, while the sum is 71.

The spelling of 983577056849 in words is "nine hundred eighty-three billion, five hundred seventy-seven million, fifty-six thousand, eight hundred forty-nine".