1188163324125 has 24 divisors (see below), whose sum is σ = 2141862420984. Its totient is φ = 633687105600.

The previous prime is 1188163324123. The next prime is 1188163324163. The reversal of 1188163324125 is 5214233618811.

1188163324125 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 1 + 633 + 2 + 4 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169787674809 + 1018375649316 = 412053^2 + 1009146^2 .

It is not a de Polignac number, because 1188163324125 - 2¹ = 1188163324123 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1188163324121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528071464 + ... + 528073713.

It is an arithmetic number, because the mean of its divisors is an integer number (89244267541).

Almost surely, 2^{1188163324125} is an apocalyptic number.

1188163324125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1188163324125 is a deficient number, since it is larger than the sum of its proper divisors (953699096859).

1188163324125 is a wasteful number, since it uses less digits than its factorization.

1188163324125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056145198 (or 1056145185 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 1188163324125 in words is "one trillion, one hundred eighty-eight billion, one hundred sixty-three million, three hundred twenty-four thousand, one hundred twenty-five".