82112048704 has 315 divisors, whose sum is σ = 206731101777. Its totient is φ = 32350574592.

The previous prime is 82112048693. The next prime is 82112048717. The reversal of 82112048704 is 40784021128.

It is a happy number.

The square root of 82112048704 is 286552.

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., 63928065600 + 18183983104 = 252840^2 + 134848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1909582507 + ... + 1909582549.

Almost surely, 2^82112048704 is an apocalyptic number.

82112048704 is the 286552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82112048704

82112048704 is an abundant number, since it is smaller than the sum of its proper divisors (124619053073).

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

82112048704 is an frugal number, since it uses more digits than its factorization.

82112048704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 82112048704 in words is "eighty-two billion, one hundred twelve million, forty-eight thousand, seven hundred four".