24812204004225 has 405 divisors, whose sum is σ = 52472188169401. Its totient is φ = 11581852867200.

The previous prime is 24812204004223. The next prime is 24812204004239. The reversal of 24812204004225 is 52240040221842.

The square root of 24812204004225 is 4981185.

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

24812204004225 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 2 + 20 + 400 + 4 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 341057168001 + 24471146836224 = 584001^2 + 4946832^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 24812204004225 - 2¹ = 24812204004223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 24812204004225.

It is not an unprimeable number, because it can be changed into a prime (24812204004223) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 71504910502 + ... + 71504910848.

Almost surely, 2^{24812204004225} is an apocalyptic number.

24812204004225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24812204004225 is the 4981185-th square number.

24812204004225 is the 2490593-rd centered octagonal number.

It is an amenable number.

24812204004225 is an abundant number, since it is smaller than the sum of its proper divisors (27659984165176).

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

24812204004225 is an equidigital number, since it uses as much as digits as its factorization.

24812204004225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Multiplying 24812204004225 by its sum of digits (36), we get a square (893239344152100 = 29887110²).

The spelling of 24812204004225 in words is "twenty-four trillion, eight hundred twelve billion, two hundred four million, four thousand, two hundred twenty-five".