11966469306768 has 240 divisors, whose sum is σ = 35480068416000. Its totient is φ = 3759803688960.

The previous prime is 11966469306749. The next prime is 11966469306881. The reversal of 11966469306768 is 86760396466911.

11966469306768 is a `hidden beast` number, since 1 + 1 + 9 + 66 + 469 + 30 + 6 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11966469306696 and 11966469306705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26394058 + ... + 26843606.

It is an arithmetic number, because the mean of its divisors is an integer number (147833618400).

Almost surely, 2^{11966469306768} is an apocalyptic number.

11966469306768 is a gapful number since it is divisible by the number (18) 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 11966469306768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740034208000).

11966469306768 is an abundant number, since it is smaller than the sum of its proper divisors (23513599109232).

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

11966469306768 is a wasteful number, since it uses less digits than its factorization.

11966469306768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449750 (or 449741 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 11966469306768 in words is "eleven trillion, nine hundred sixty-six billion, four hundred sixty-nine million, three hundred six thousand, seven hundred sixty-eight".