11258890352329 has 27 divisors (see below), whose sum is σ = 11634051664053. Its totient is φ = 10895742554400.

The previous prime is 11258890352323. The next prime is 11258890352357. The reversal of 11258890352329 is 92325309885211.

The square root of 11258890352329 is 3355427.

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 6239139721929 + 5019750630400 = 2497827^2 + 2240480^2 .

It is not a de Polignac number, because 11258890352329 - 2¹³ = 11258890344137 is a prime.

It is a super-2 number, since 2×11258890352329² (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 (11258890352323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13713629739 + ... + 13713630559.

Almost surely, 2^{11258890352329} is an apocalyptic number.

11258890352329 is the 3355427-th square number.

11258890352329 is the 1677714-th centered octagonal number.

It is an amenable number.

11258890352329 is a deficient number, since it is larger than the sum of its proper divisors (375161311724).

11258890352329 is an frugal number, since it uses more digits than its factorization.

11258890352329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 11258890352329 in words is "eleven trillion, two hundred fifty-eight billion, eight hundred ninety million, three hundred fifty-two thousand, three hundred twenty-nine".