827393468241 has 16 divisors (see below), whose sum is σ = 1104941277440. Its totient is φ = 550721064960.

The previous prime is 827393468233. The next prime is 827393468303. The reversal of 827393468241 is 142864393728.

It is not a de Polignac number, because 827393468241 - 2³ = 827393468233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827393461241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8327331 + ... + 8426103.

It is an arithmetic number, because the mean of its divisors is an integer number (69058829840).

Almost surely, 2^827393468241 is an apocalyptic number.

It is an amenable number.

827393468241 is a deficient number, since it is larger than the sum of its proper divisors (277547809199).

827393468241 is a wasteful number, since it uses less digits than its factorization.

827393468241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103176.

The product of its digits is 13934592, while the sum is 57.

The spelling of 827393468241 in words is "eight hundred twenty-seven billion, three hundred ninety-three million, four hundred sixty-eight thousand, two hundred forty-one".