10883579146729 has 27 divisors (see below), whose sum is σ = 11541919271589. Its totient is φ = 10261293580800.

The previous prime is 10883579146723. The next prime is 10883579146757. The reversal of 10883579146729 is 92764197538801.

The square root of 10883579146729 is 3299027.

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 622781397225 + 10260797749504 = 789165^2 + 3203248^2 .

It is not a de Polignac number, because 10883579146729 - 2⁹ = 10883579146217 is a prime.

It is a super-2 number, since 2×10883579146729² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10883579146723) 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, 25135286497 + ... + 25135286929.

It is a 1-persistent number, because it is pandigital, but 2⋅10883579146729 = 21767158293458 is not.

Almost surely, 2^{10883579146729} is an apocalyptic number.

10883579146729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10883579146729 is the 3299027-th square number.

10883579146729 is the 1649514-th centered octagonal number.

It is an amenable number.

10883579146729 is a deficient number, since it is larger than the sum of its proper divisors (658340124860).

10883579146729 is an frugal number, since it uses more digits than its factorization.

10883579146729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 70.

The spelling of 10883579146729 in words is "ten trillion, eight hundred eighty-three billion, five hundred seventy-nine million, one hundred forty-six thousand, seven hundred twenty-nine".