11544942906225 has 243 divisors, whose sum is σ = 21918119073123. Its totient is φ = 5808744506880.

The previous prime is 11544942906191. The next prime is 11544942906239. The reversal of 11544942906225 is 52260924944511.

It is a happy number.

The square root of 11544942906225 is 3397785.

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

11544942906225 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 4 + 9 + 4 + 2 + 9 + 0 + 622 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 6344791718769 + 5200151187456 = 2518887^2 + 2280384^2 .

It is not a de Polignac number, because 11544942906225 - 2⁷ = 11544942906097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 107896662622 + ... + 107896662728.

Almost surely, 2^{11544942906225} is an apocalyptic number.

11544942906225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11544942906225 is the 3397785-th square number.

11544942906225 is the 1698893-rd centered octagonal number.

It is an amenable number.

11544942906225 is a deficient number, since it is larger than the sum of its proper divisors (10373176166898).

11544942906225 is an equidigital number, since it uses as much as digits as its factorization.

11544942906225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 11544942906225 in words is "eleven trillion, five hundred forty-four billion, nine hundred forty-two million, nine hundred six thousand, two hundred twenty-five".