82243568742976 has 63 divisors (see below), whose sum is σ = 164134939359513. Its totient is φ = 40888062639360.

The previous prime is 82243568742949. The next prime is 82243568743027. The reversal of 82243568742976 is 67924786534228.

The square root of 82243568742976 is 9068824.

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., 906258304576 + 81337310438400 = 951976^2 + 9018720^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82243568742899 and 82243568742908.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13131654021 + ... + 13131660283.

Almost surely, 2^{82243568742976} is an apocalyptic number.

82243568742976 is the 9068824-th square number.

It is an amenable number.

82243568742976 is a deficient number, since it is larger than the sum of its proper divisors (81891370616537).

82243568742976 is an frugal number, since it uses more digits than its factorization.

82243568742976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12900 (or 6446 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 73.

The spelling of 82243568742976 in words is "eighty-two trillion, two hundred forty-three billion, five hundred sixty-eight million, seven hundred forty-two thousand, nine hundred seventy-six".