11968517343456 has 768 divisors, whose sum is σ = 38303676472320. Its totient is φ = 3666650996736.

The previous prime is 11968517343451. The next prime is 11968517343457. The reversal of 11968517343456 is 65434371586911.

11968517343456 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 8 + 5 + 173 + 4 + 3 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11968517343393 and 11968517343402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968517343451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21880287375 + ... + 21880287921.

It is an arithmetic number, because the mean of its divisors is an integer number (49874578740).

Almost surely, 2^{11968517343456} is an apocalyptic number.

11968517343456 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 11968517343456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19151838236160).

11968517343456 is an abundant number, since it is smaller than the sum of its proper divisors (26335159128864).

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

11968517343456 is an equidigital number, since it uses as much as digits as its factorization.

11968517343456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 969 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 11968517343456 in words is "eleven trillion, nine hundred sixty-eight billion, five hundred seventeen million, three hundred forty-three thousand, four hundred fifty-six".