11115166122225 has 144 divisors (see below), whose sum is σ = 23087793268800. Its totient is φ = 5054978880000.

The previous prime is 11115166122223. The next prime is 11115166122343. The reversal of 11115166122225 is 52222166151111.

11115166122225 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 5 + 16 + 612 + 2 + 2 + 25 = 666.

11115166122225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11115166122225 - 2¹ = 11115166122223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11115166122225.

It is not an unprimeable number, because it can be changed into a prime (11115166122223) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3579391 + ... + 5919659.

It is an arithmetic number, because the mean of its divisors is an integer number (160331897700).

Almost surely, 2^{11115166122225} is an apocalyptic number.

11115166122225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11115166122225 is an abundant number, since it is smaller than the sum of its proper divisors (11972627146575).

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

11115166122225 is a wasteful number, since it uses less digits than its factorization.

11115166122225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340416 (or 2340408 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The spelling of 11115166122225 in words is "eleven trillion, one hundred fifteen billion, one hundred sixty-six million, one hundred twenty-two thousand, two hundred twenty-five".