820966469184 has 189 divisors, whose sum is σ = 2484771207867. Its totient is φ = 259122094848.

The previous prime is 820966469177. The next prime is 820966469231. The reversal of 820966469184 is 481964669028.

The square root of 820966469184 is 906072.

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

820966469184 is a `hidden beast` number, since 8 + 2 + 0 + 96 + 6 + 469 + 1 + 84 = 666.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 413167839 + ... + 413169825.

Almost surely, 2^820966469184 is an apocalyptic number.

820966469184 is the 906072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820966469184

820966469184 is an abundant number, since it is smaller than the sum of its proper divisors (1663804738683).

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

820966469184 is an equidigital number, since it uses as much as digits as its factorization.

820966469184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 820966469184 in words is "eight hundred twenty billion, nine hundred sixty-six million, four hundred sixty-nine thousand, one hundred eighty-four".