11344663457856 has 189 divisors, whose sum is σ = 33428844891351. Its totient is φ = 3678380273664.

The previous prime is 11344663457837. The next prime is 11344663457857. The reversal of 11344663457856 is 65875436644311.

The square root of 11344663457856 is 3368184.

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

11344663457856 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 6 + 6 + 3 + 4 + 578 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135559457856 + 11209104000000 = 368184^2 + 3348000^2 .

It is a super-3 number, since 3×11344663457856³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11344663457793 and 11344663457802.

It is not an unprimeable number, because it can be changed into a prime (11344663457857) 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, 2990945496 + ... + 2990949288.

Almost surely, 2^{11344663457856} is an apocalyptic number.

11344663457856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11344663457856 is the 3368184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11344663457856

11344663457856 is an abundant number, since it is smaller than the sum of its proper divisors (22084181433495).

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

11344663457856 is an frugal number, since it uses more digits than its factorization.

11344663457856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 3835 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 11344663457856 in words is "eleven trillion, three hundred forty-four billion, six hundred sixty-three million, four hundred fifty-seven thousand, eight hundred fifty-six".