11088413825329 has 27 divisors (see below), whose sum is σ = 11545886808729. Its totient is φ = 10648706954760.

The previous prime is 11088413825231. The next prime is 11088413825339. The reversal of 11088413825329 is 92352831488011.

The square root of 11088413825329 is 3329927.

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

It is not a de Polignac number, because 11088413825329 - 2²³ = 11088405436721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11088413825329.

It is not an unprimeable number, because it can be changed into a prime (11088413825339) 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, 16826120802 + ... + 16826121460.

Almost surely, 2^{11088413825329} is an apocalyptic number.

11088413825329 is the 3329927-th square number.

11088413825329 is the 1664964-th centered octagonal number.

It is an amenable number.

11088413825329 is a deficient number, since it is larger than the sum of its proper divisors (457472983400).

11088413825329 is an frugal number, since it uses more digits than its factorization.

11088413825329 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 3317760, while the sum is 55.

The spelling of 11088413825329 in words is "eleven trillion, eighty-eight billion, four hundred thirteen million, eight hundred twenty-five thousand, three hundred twenty-nine".