1166760747889 has 45 divisors (see below), whose sum is σ = 1311485599515. Its totient is φ = 1037997280320.

The previous prime is 1166760747857. The next prime is 1166760747967. The reversal of 1166760747889 is 9887470676611.

The square root of 1166760747889 is 1080167.

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

It can be written as a sum of positive squares in only one way, i.e., 20559258225 + 1146201489664 = 143385^2 + 1070608^2 .

It is not a de Polignac number, because 1166760747889 - 2⁵ = 1166760747857 is a prime.

It is a super-2 number, since 2×1166760747889² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1166760747829) 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 44 ways as a sum of consecutive naturals, for example, 10325316297 + ... + 10325316409.

Almost surely, 2^{1166760747889} is an apocalyptic number.

1166760747889 is the 1080167-th square number.

1166760747889 is the 540084-th centered octagonal number.

It is an amenable number.

1166760747889 is a deficient number, since it is larger than the sum of its proper divisors (144724851626).

1166760747889 is an frugal number, since it uses more digits than its factorization.

1166760747889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 70.

The spelling of 1166760747889 in words is "one trillion, one hundred sixty-six billion, seven hundred sixty million, seven hundred forty-seven thousand, eight hundred eighty-nine".