11086662352896 has 1215 divisors, whose sum is σ = 37546927968459. Its totient is φ = 3150448164864.

The previous prime is 11086662352889. The next prime is 11086662352907. The reversal of 11086662352896 is 69825326668011.

It is a happy number.

The square root of 11086662352896 is 3329664.

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 1421626982400 + 9665035370496 = 1192320^2 + 3108864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 382298701810 + ... + 382298701838.

Almost surely, 2^{11086662352896} is an apocalyptic number.

11086662352896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11086662352896 is the 3329664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11086662352896

11086662352896 is an abundant number, since it is smaller than the sum of its proper divisors (26460265615563).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11086662352896 is an equidigital number, since it uses as much as digits as its factorization.

11086662352896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 11086662352896 in words is "eleven trillion, eighty-six billion, six hundred sixty-two million, three hundred fifty-two thousand, eight hundred ninety-six".