24128962225 has 27 divisors (see below), whose sum is σ = 30616369761. Its totient is φ = 18863882400.

The previous prime is 24128962219. The next prime is 24128962229. The reversal of 24128962225 is 52226982142.

The square root of 24128962225 is 155335.

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 710169201 + 23418793024 = 26649^2 + 153032^2 .

It is not a de Polignac number, because 24128962225 - 2¹⁵ = 24128929457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24128962229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36503395 + ... + 36504055.

Almost surely, 2^24128962225 is an apocalyptic number.

24128962225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24128962225 is the 155335-th square number.

24128962225 is the 77668-th centered octagonal number.

It is an amenable number.

24128962225 is a deficient number, since it is larger than the sum of its proper divisors (6487407536).

24128962225 is an frugal number, since it uses more digits than its factorization.

24128962225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 713 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The spelling of 24128962225 in words is "twenty-four billion, one hundred twenty-eight million, nine hundred sixty-two thousand, two hundred twenty-five".