12546366147225 has 45 divisors (see below), whose sum is σ = 23240502376333. Its totient is φ = 6691310268480.

The previous prime is 12546366147193. The next prime is 12546366147233. The reversal of 12546366147225 is 52274166364521.

It is a happy number.

The square root of 12546366147225 is 3542085.

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

12546366147225 is a `hidden beast` number, since 1 + 2 + 5 + 46 + 366 + 14 + 7 + 225 = 666.

12546366147225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23005912329 + 12523360234896 = 151677^2 + 3538836^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 12546366147225 - 2⁵ = 12546366147193 is a prime.

It is a super-2 number, since 2×12546366147225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 159354469 + ... + 159433181.

Almost surely, 2^{12546366147225} is an apocalyptic number.

12546366147225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12546366147225 is the 3542085-th square number.

12546366147225 is the 1771043-rd centered octagonal number.

It is an amenable number.

12546366147225 is a deficient number, since it is larger than the sum of its proper divisors (10694136229108).

12546366147225 is an frugal number, since it uses more digits than its factorization.

12546366147225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157448 (or 78721 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 12546366147225 in words is "twelve trillion, five hundred forty-six billion, three hundred sixty-six million, one hundred forty-seven thousand, two hundred twenty-five".