1188756138108 has 384 divisors, whose sum is σ = 3701440512000. Its totient is φ = 287627708160.

The previous prime is 1188756138103. The next prime is 1188756138113. The reversal of 1188756138108 is 8018316578811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1188756138103) and next prime (1188756138113).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1188756138103) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 364759383 + ... + 364762641.

It is an arithmetic number, because the mean of its divisors is an integer number (9639168000).

Almost surely, 2^{1188756138108} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1188756138108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850720256000).

1188756138108 is an abundant number, since it is smaller than the sum of its proper divisors (2512684373892).

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

1188756138108 is a wasteful number, since it uses less digits than its factorization.

1188756138108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 57.

The spelling of 1188756138108 in words is "one trillion, one hundred eighty-eight billion, seven hundred fifty-six million, one hundred thirty-eight thousand, one hundred eight".