11071879729 has 9 divisors (see below), whose sum is σ = 11166858027. Its totient is φ = 10977705144.

The previous prime is 11071879699. The next prime is 11071879769. The reversal of 11071879729 is 92797817011.

The square root of 11071879729 is 105223.

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., 6840117025 + 4231762704 = 82705^2 + 65052^2 .

It is not a de Polignac number, because 11071879729 - 2⁷ = 11071879601 is a prime.

It is a super-2 number, since 2×11071879729² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11071879769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14625619 + ... + 14626375.

It is an arithmetic number, because the mean of its divisors is an integer number (1240762003).

Almost surely, 2^11071879729 is an apocalyptic number.

11071879729 is the 105223-rd square number.

11071879729 is the 52612-nd centered octagonal number.

It is an amenable number.

11071879729 is a deficient number, since it is larger than the sum of its proper divisors (94978298).

11071879729 is an frugal number, since it uses more digits than its factorization.

11071879729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 52.

The spelling of 11071879729 in words is "eleven billion, seventy-one million, eight hundred seventy-nine thousand, seven hundred twenty-nine".