823541730064 has 45 divisors (see below), whose sum is σ = 1602995602887. Its totient is φ = 409874206752.

The previous prime is 823541730061. The next prime is 823541730073. The reversal of 823541730064 is 460037145328.

The square root of 823541730064 is 907492.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 823541730064.

It is not an unprimeable number, because it can be changed into a prime (823541730061) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1114399807 + ... + 1114400545.

Almost surely, 2^823541730064 is an apocalyptic number.

823541730064 is the 907492-nd square number.

It is an amenable number.

823541730064 is a deficient number, since it is larger than the sum of its proper divisors (779453872823).

823541730064 is an frugal number, since it uses more digits than its factorization.

823541730064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 823541730064 in words is "eight hundred twenty-three billion, five hundred forty-one million, seven hundred thirty thousand, sixty-four".