1116228171289 has 27 divisors (see below), whose sum is σ = 1427347367103. Its totient is φ = 869724794400.

The previous prime is 1116228171263. The next prime is 1116228171293. The reversal of 1116228171289 is 9821718226111.

The square root of 1116228171289 is 1056517.

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., 233755811289 + 882472360000 = 483483^2 + 939400^2 .

It is not a de Polignac number, because 1116228171289 - 2⁵ = 1116228171257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1116228171239) 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 26 ways as a sum of consecutive naturals, for example, 81344949 + ... + 81358669.

Almost surely, 2^{1116228171289} is an apocalyptic number.

1116228171289 is the 1056517-th square number.

1116228171289 is the 528259-th centered octagonal number.

It is an amenable number.

1116228171289 is a deficient number, since it is larger than the sum of its proper divisors (311119195814).

1116228171289 is an frugal number, since it uses more digits than its factorization.

1116228171289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27478 (or 13739 counting only the distinct ones).

The product of its digits is 193536, while the sum is 49.

Multiplying 1116228171289 by its sum of digits (49), we get a square (54695180393161 = 7395619²).

1116228171289 divided by its sum of digits (49) gives a square (22780166761 = 150931²).

It can be divided in two parts, 11162281 and 71289, that multiplied together give a square (795747850209 = 892047²).

The spelling of 1116228171289 in words is "one trillion, one hundred sixteen billion, two hundred twenty-eight million, one hundred seventy-one thousand, two hundred eighty-nine".