828698452641 has 32 divisors (see below), whose sum is σ = 1241872473600. Its totient is φ = 546092426880.

The previous prime is 828698452639. The next prime is 828698452679. The reversal of 828698452641 is 146254896828.

828698452641 is a `hidden beast` number, since 8 + 2 + 8 + 69 + 8 + 4 + 526 + 41 = 666.

It is not a de Polignac number, because 828698452641 - 2¹ = 828698452639 is a prime.

It is a super-2 number, since 2×828698452641² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (828698453641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8136411 + ... + 8237631.

It is an arithmetic number, because the mean of its divisors is an integer number (38808514800).

Almost surely, 2^828698452641 is an apocalyptic number.

It is an amenable number.

828698452641 is a deficient number, since it is larger than the sum of its proper divisors (413174020959).

828698452641 is a wasteful number, since it uses less digits than its factorization.

828698452641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104726 (or 104720 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 828698452641 in words is "eight hundred twenty-eight billion, six hundred ninety-eight million, four hundred fifty-two thousand, six hundred forty-one".