10323805972624 has 45 divisors (see below), whose sum is σ = 21248646375801. Its totient is φ = 4858158816000.

The previous prime is 10323805972549. The next prime is 10323805972631. The reversal of 10323805972624 is 42627950832301.

It is a happy number.

The square root of 10323805972624 is 3213068.

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

It can be written as a sum of positive squares in only one way, i.e., 8037565203600 + 2286240769024 = 2835060^2 + 1512032^2 .

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, 218464999 + ... + 218512249.

It is a 1-persistent number, because it is pandigital, but 2⋅10323805972624 = 20647611945248 is not.

Almost surely, 2^{10323805972624} is an apocalyptic number.

10323805972624 is the 3213068-th square number.

It is an amenable number.

10323805972624 is an abundant number, since it is smaller than the sum of its proper divisors (10924840403177).

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

10323805972624 is an frugal number, since it uses more digits than its factorization.

10323805972624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94544 (or 47270 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 10323805972624 in words is "ten trillion, three hundred twenty-three billion, eight hundred five million, nine hundred seventy-two thousand, six hundred twenty-four".