12945456225 has 144 divisors (see below), whose sum is σ = 26568268272. Its totient is φ = 5969018880.

The previous prime is 12945456217. The next prime is 12945456239. The reversal of 12945456225 is 52265454921.

12945456225 is a `hidden beast` number, since 1 + 29 + 4 + 545 + 62 + 25 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 9342575649 + 3602880576 = 96657^2 + 60024^2 .

It is not a de Polignac number, because 12945456225 - 2³ = 12945456217 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12778819 + ... + 12779831.

It is an arithmetic number, because the mean of its divisors is an integer number (184501863).

Almost surely, 2^12945456225 is an apocalyptic number.

12945456225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12945456225 is an abundant number, since it is smaller than the sum of its proper divisors (13622812047).

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

12945456225 is a wasteful number, since it uses less digits than its factorization.

12945456225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 12945456225 in words is "twelve billion, nine hundred forty-five million, four hundred fifty-six thousand, two hundred twenty-five".