323009606011024 has 45 divisors (see below), whose sum is σ = 664812727387851. Its totient is φ = 152003945356800.

The previous prime is 323009606011003. The next prime is 323009606011093. The reversal of 323009606011024 is 420110606900323.

The square root of 323009606011024 is 17972468.

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

It can be written as a sum of positive squares in 4 ways, for example, as 607183808400 + 322402422202624 = 779220^2 + 17955568^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1221995674 + ... + 1222259974.

Almost surely, 2^{323009606011024} is an apocalyptic number.

323009606011024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

323009606011024 is the 17972468-th square number.

It is an amenable number.

323009606011024 is an abundant number, since it is smaller than the sum of its proper divisors (341803121376827).

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

323009606011024 is an frugal number, since it uses more digits than its factorization.

323009606011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528644 (or 264320 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 323009606011024 in words is "three hundred twenty-three trillion, nine billion, six hundred six million, eleven thousand, twenty-four".