828365741316 has 81 divisors (see below), whose sum is σ = 2224591266261. Its totient is φ = 259850323584.

The previous prime is 828365741297. The next prime is 828365741363. The reversal of 828365741316 is 613147563828.

The square root of 828365741316 is 910146.

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

828365741316 is a `hidden beast` number, since 8 + 2 + 8 + 36 + 574 + 1 + 31 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 644921424900 + 183444316416 = 803070^2 + 428304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92830431 + ... + 92839353.

Almost surely, 2^828365741316 is an apocalyptic number.

828365741316 is the 910146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828365741316

828365741316 is an abundant number, since it is smaller than the sum of its proper divisors (1396225524945).

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

828365741316 is an equidigital number, since it uses as much as digits as its factorization.

828365741316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17890 (or 8945 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 828365741316 in words is "eight hundred twenty-eight billion, three hundred sixty-five million, seven hundred forty-one thousand, three hundred sixteen".