1188666708768 has 1728 divisors, whose sum is σ = 4730241245184. Its totient is φ = 275904921600.

The previous prime is 1188666708743. The next prime is 1188666708791. The reversal of 1188666708768 is 8678076668811.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1188666708696 and 1188666708705.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9359580321 + ... + 9359580447.

It is an arithmetic number, because the mean of its divisors is an integer number (2737408128).

Almost surely, 2^{1188666708768} is an apocalyptic number.

1188666708768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1188666708768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365120622592).

1188666708768 is an abundant number, since it is smaller than the sum of its proper divisors (3541574536416).

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

1188666708768 is a wasteful number, since it uses less digits than its factorization.

1188666708768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 1188666708768 in words is "one trillion, one hundred eighty-eight billion, six hundred sixty-six million, seven hundred eight thousand, seven hundred sixty-eight".