11334446688889 has 27 divisors (see below), whose sum is σ = 12297007629837. Its totient is φ = 10445501834208.

The previous prime is 11334446688847. The next prime is 11334446688947. The reversal of 11334446688889 is 98888664443311.

The square root of 11334446688889 is 3366667.

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

It can be written as a sum of positive squares in 4 ways, for example, as 46136892025 + 11288309796864 = 214795^2 + 3359808^2 .

It is not a de Polignac number, because 11334446688889 - 2⁹ = 11334446688377 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11334446688989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2366764507 + ... + 2366769295.

It is an arithmetic number, because the mean of its divisors is an integer number (455444727031).

Almost surely, 2^{11334446688889} is an apocalyptic number.

11334446688889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11334446688889 is the 3366667-th square number.

11334446688889 is the 1683334-th centered octagonal number.

It is an amenable number.

11334446688889 is a deficient number, since it is larger than the sum of its proper divisors (962560940948).

11334446688889 is an frugal number, since it uses more digits than its factorization.

11334446688889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 4845 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 73.

The spelling of 11334446688889 in words is "eleven trillion, three hundred thirty-four billion, four hundred forty-six million, six hundred eighty-eight thousand, eight hundred eighty-nine".