11628387225 has 243 divisors, whose sum is σ = 26571543453. Its totient is φ = 4844810880.

The previous prime is 11628387193. The next prime is 11628387263. The reversal of 11628387225 is 52278382611.

The square root of 11628387225 is 107835.

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

11628387225 is a `hidden beast` number, since 11 + 628 + 3 + 8 + 7 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2997234009 + 8631153216 = 54747^2 + 92904^2 .

It is not a de Polignac number, because 11628387225 - 2⁵ = 11628387193 is a prime.

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

It is a Curzon number.

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, 147194736 + ... + 147194814.

Almost surely, 2^11628387225 is an apocalyptic number.

11628387225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11628387225 is the 107835-th square number.

11628387225 is the 53918-th centered octagonal number.

It is an amenable number.

11628387225 is an abundant number, since it is smaller than the sum of its proper divisors (14943156228).

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

11628387225 is a wasteful number, since it uses less digits than its factorization.

11628387225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 11628387225 in words is "eleven billion, six hundred twenty-eight million, three hundred eighty-seven thousand, two hundred twenty-five".