11716004808225 has 243 divisors, whose sum is σ = 23087271332619. Its totient is φ = 5678122291200.

The previous prime is 11716004808217. The next prime is 11716004808281. The reversal of 11716004808225 is 52280840061711.

The square root of 11716004808225 is 3422865.

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

11716004808225 is a `hidden beast` number, since 1 + 1 + 7 + 160 + 0 + 480 + 8 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9072089784081 + 2643915024144 = 3011991^2 + 1626012^2 .

It is not a de Polignac number, because 11716004808225 - 2³ = 11716004808217 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 27057747609 + ... + 27057748041.

Almost surely, 2^{11716004808225} is an apocalyptic number.

11716004808225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11716004808225 is the 3422865-th square number.

11716004808225 is the 1711433-rd centered octagonal number.

It is an amenable number.

11716004808225 is a deficient number, since it is larger than the sum of its proper divisors (11371266524394).

11716004808225 is an equidigital number, since it uses as much as digits as its factorization.

11716004808225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

Adding to 11716004808225 its reverse (52280840061711), we get a palindrome (63996844869936).

The spelling of 11716004808225 in words is "eleven trillion, seven hundred sixteen billion, four million, eight hundred eight thousand, two hundred twenty-five".