1128166871104 has 189 divisors, whose sum is σ = 2821876597917. Its totient is φ = 446001873408.

The previous prime is 1128166871081. The next prime is 1128166871137. The reversal of 1128166871104 is 4011786618211.

The square root of 1128166871104 is 1062152.

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., 166888590400 + 961278280704 = 408520^2 + 980448^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 773245927 + ... + 773247385.

Almost surely, 2^{1128166871104} is an apocalyptic number.

1128166871104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1128166871104 is the 1062152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128166871104

1128166871104 is an abundant number, since it is smaller than the sum of its proper divisors (1693709726813).

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

1128166871104 is an frugal number, since it uses more digits than its factorization.

1128166871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 46.

The spelling of 1128166871104 in words is "one trillion, one hundred twenty-eight billion, one hundred sixty-six million, eight hundred seventy-one thousand, one hundred four".