821819332944 has 80 divisors (see below), whose sum is σ = 2367630723840. Its totient is φ = 272928890880.

The previous prime is 821819332907. The next prime is 821819333009. The reversal of 821819332944 is 449233918128.

821819332944 is a `hidden beast` number, since 8 + 218 + 1 + 9 + 332 + 94 + 4 = 666.

It is a super-2 number, since 2×821819332944² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 3392817 + ... + 3626960.

It is an arithmetic number, because the mean of its divisors is an integer number (29595384048).

Almost surely, 2^821819332944 is an apocalyptic number.

It is an amenable number.

821819332944 is an abundant number, since it is smaller than the sum of its proper divisors (1545811390896).

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

821819332944 is a wasteful number, since it uses less digits than its factorization.

821819332944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020065 (or 7020053 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 821819332944 in words is "eight hundred twenty-one billion, eight hundred nineteen million, three hundred thirty-two thousand, nine hundred forty-four".