82968769849 has 9 divisors (see below), whose sum is σ = 96517037007. Its totient is φ = 71114360184.

The previous prime is 82968769831. The next prime is 82968769879. The reversal of 82968769849 is 94896786928.

The square root of 82968769849 is 288043.

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

It can be written as a sum of positive squares in only one way, i.e., 8668913449 + 74299856400 = 93107^2 + 272580^2 .

It is not a de Polignac number, because 82968769849 - 2⁷ = 82968769721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82968769879) 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 8 ways as a sum of consecutive naturals, for example, 1995727 + ... + 2036875.

It is an arithmetic number, because the mean of its divisors is an integer number (10724115223).

Almost surely, 2^82968769849 is an apocalyptic number.

82968769849 is the 288043-rd square number.

82968769849 is the 144022-nd centered octagonal number.

It is an amenable number.

82968769849 is a deficient number, since it is larger than the sum of its proper divisors (13548267158).

82968769849 is an frugal number, since it uses more digits than its factorization.

82968769849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82312 (or 41156 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 76.

The spelling of 82968769849 in words is "eighty-two billion, nine hundred sixty-eight million, seven hundred sixty-nine thousand, eight hundred forty-nine".