828306694656 has 400 divisors, whose sum is σ = 2832971017536. Its totient is φ = 236030091264.

The previous prime is 828306694561. The next prime is 828306694697. The reversal of 828306694656 is 656496603828.

828306694656 is a `hidden beast` number, since 82 + 8 + 30 + 6 + 69 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 828306694593 and 828306694602.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115247095 + ... + 115254281.

Almost surely, 2^828306694656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828306694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416485508768).

828306694656 is an abundant number, since it is smaller than the sum of its proper divisors (2004664322880).

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

828306694656 is an equidigital number, since it uses as much as digits as its factorization.

828306694656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 828306694656 in words is "eight hundred twenty-eight billion, three hundred six million, six hundred ninety-four thousand, six hundred fifty-six".