11626343516256 has 384 divisors, whose sum is σ = 35829319680000. Its totient is φ = 3232691472384.

The previous prime is 11626343516237. The next prime is 11626343516309. The reversal of 11626343516256 is 65261534362611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11626343516199 and 11626343516208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1761830845 + ... + 1761837443.

It is an arithmetic number, because the mean of its divisors is an integer number (93305520000).

Almost surely, 2^{11626343516256} is an apocalyptic number.

11626343516256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11626343516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914659840000).

11626343516256 is an abundant number, since it is smaller than the sum of its proper divisors (24202976163744).

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

11626343516256 is a wasteful number, since it uses less digits than its factorization.

11626343516256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 7146 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

Adding to 11626343516256 its reverse (65261534362611), we get a palindrome (76887877878867).

The spelling of 11626343516256 in words is "eleven trillion, six hundred twenty-six billion, three hundred forty-three million, five hundred sixteen thousand, two hundred fifty-six".