24378138225 has 81 divisors (see below), whose sum is σ = 50826943947. Its totient is φ = 11136797280.

The previous prime is 24378138223. The next prime is 24378138229. The reversal of 24378138225 is 52283187342.

The square root of 24378138225 is 156135.

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

24378138225 is a `hidden beast` number, since 24 + 378 + 1 + 38 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8776129761 + 15602008464 = 93681^2 + 124908^2 .

It is not a de Polignac number, because 24378138225 - 2¹ = 24378138223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (24378138223) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 16393432 + ... + 16394918.

Almost surely, 2^24378138225 is an apocalyptic number.

24378138225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24378138225 is the 156135-th square number.

24378138225 is the 78068-th centered octagonal number.

It is an amenable number.

24378138225 is an abundant number, since it is smaller than the sum of its proper divisors (26448805722).

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

24378138225 is an equidigital number, since it uses as much as digits as its factorization.

24378138225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 1502 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 24378138225 in words is "twenty-four billion, three hundred seventy-eight million, one hundred thirty-eight thousand, two hundred twenty-five".