11314789641 has 45 divisors (see below), whose sum is σ = 17304868119. Its totient is φ = 7367680944.

The previous prime is 11314789621. The next prime is 11314789679. The reversal of 11314789641 is 14698741311.

The square root of 11314789641 is 106371.

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

11314789641 is a `hidden beast` number, since 1 + 131 + 478 + 9 + 6 + 41 = 666.

11314789641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8156799225 + 3157990416 = 90315^2 + 56196^2 .

It is not a de Polignac number, because 11314789641 - 2⁵ = 11314789609 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11314789621) 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 44 ways as a sum of consecutive naturals, for example, 50738856 + ... + 50739078.

Almost surely, 2^11314789641 is an apocalyptic number.

11314789641 is the 106371-st square number.

11314789641 is the 53186-th centered octagonal number.

It is an amenable number.

11314789641 is a deficient number, since it is larger than the sum of its proper divisors (5990078478).

11314789641 is an frugal number, since it uses more digits than its factorization.

11314789641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 279 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 11314789641 in words is "eleven billion, three hundred fourteen million, seven hundred eighty-nine thousand, six hundred forty-one".