10809345024 has 275 divisors, whose sum is σ = 34072071407. Its totient is φ = 3413477376.

The previous prime is 10809345013. The next prime is 10809345047. The reversal of 10809345024 is 42054390801.

The square root of 10809345024 is 103968.

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

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=228.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 10809345024.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 568912887 + ... + 568912905.

Almost surely, 2^10809345024 is an apocalyptic number.

10809345024 is the 103968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10809345024

10809345024 is an abundant number, since it is smaller than the sum of its proper divisors (23262726383).

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

10809345024 is an frugal number, since it uses more digits than its factorization.

10809345024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 10809345024 by its sum of digits (36), we get a square (389136420864 = 623808²).

10809345024 divided by its sum of digits (36) gives a square (300259584 = 17328²).

The spelling of 10809345024 in words is "ten billion, eight hundred nine million, three hundred forty-five thousand, twenty-four".