83259948304 has 135 divisors (see below), whose sum is σ = 181510204869. Its totient is φ = 36980311680.

The previous prime is 83259948287. The next prime is 83259948337. The reversal of 83259948304 is 40384995238.

The square root of 83259948304 is 288548.

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., 12316560400 + 70943387904 = 110980^2 + 266352^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 465139287 + ... + 465139465.

Almost surely, 2^83259948304 is an apocalyptic number.

83259948304 is the 288548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83259948304

83259948304 is an abundant number, since it is smaller than the sum of its proper divisors (98250256565).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83259948304 is a wasteful number, since it uses less digits than its factorization.

83259948304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 83259948304 in words is "eighty-three billion, two hundred fifty-nine million, nine hundred forty-eight thousand, three hundred four".