82389665296 has 45 divisors (see below), whose sum is σ = 162011456589. Its totient is φ = 40589186688.

The previous prime is 82389665273. The next prime is 82389665297. The reversal of 82389665296 is 69256698328.

It is a happy number.

The square root of 82389665296 is 287036.

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., 46768387600 + 35621277696 = 216260^2 + 188736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82389665297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83814021 + ... + 83815003.

Almost surely, 2^82389665296 is an apocalyptic number.

82389665296 is the 287036-th square number.

It is an amenable number.

82389665296 is a deficient number, since it is larger than the sum of its proper divisors (79621791293).

82389665296 is an frugal number, since it uses more digits than its factorization.

82389665296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 1058 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 64.

Multiplying 82389665296 by its sum of digits (64), we get a square (5272938578944 = 2296288²).

The spelling of 82389665296 in words is "eighty-two billion, three hundred eighty-nine million, six hundred sixty-five thousand, two hundred ninety-six".