82318385410704 has 405 divisors, whose sum is σ = 244797491567811. Its totient is φ = 25820884172160.

The previous prime is 82318385410699. The next prime is 82318385410717. The reversal of 82318385410704 is 40701458381328.

The square root of 82318385410704 is 9072948.

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

82318385410704 is a `hidden beast` number, since 8 + 2 + 3 + 1 + 83 + 85 + 410 + 70 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 177793488777 + ... + 177793489239.

Almost surely, 2^{82318385410704} is an apocalyptic number.

82318385410704 is the 9072948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82318385410704

82318385410704 is an abundant number, since it is smaller than the sum of its proper divisors (162479106157107).

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

82318385410704 is an equidigital number, since it uses as much as digits as its factorization.

82318385410704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 82318385410704 in words is "eighty-two trillion, three hundred eighteen billion, three hundred eighty-five million, four hundred ten thousand, seven hundred four".