820946333552 has 20 divisors (see below), whose sum is σ = 1641892668096. Its totient is φ = 397232096640.

The previous prime is 820946333509. The next prime is 820946333561. The reversal of 820946333552 is 255333649028.

820946333552 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 820946333552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 827566373 + ... + 827567364.

Almost surely, 2^820946333552 is an apocalyptic number.

It is an amenable number.

820946333552 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

820946333552 is a wasteful number, since it uses less digits than its factorization.

820946333552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655133776 (or 1655133770 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 820946333552 in words is "eight hundred twenty billion, nine hundred forty-six million, three hundred thirty-three thousand, five hundred fifty-two".