11968367943168 has 3840 divisors, whose sum is σ = 50447171174400. Its totient is φ = 2743283220480.

The previous prime is 11968367943157. The next prime is 11968367943179. The reversal of 11968367943168 is 86134976386911.

11968367943168 is a `hidden beast` number, since 1 + 1 + 9 + 68 + 3 + 6 + 79 + 431 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (11968367943157) and next prime (11968367943179).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11968367943096 and 11968367943105.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 202853693923 + ... + 202853693981.

It is an arithmetic number, because the mean of its divisors is an integer number (13137284160).

Almost surely, 2^{11968367943168} is an apocalyptic number.

11968367943168 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 11968367943168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25223585587200).

11968367943168 is an abundant number, since it is smaller than the sum of its proper divisors (38478803231232).

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

11968367943168 is a wasteful number, since it uses less digits than its factorization.

11968367943168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 11968367943168 in words is "eleven trillion, nine hundred sixty-eight billion, three hundred sixty-seven million, nine hundred forty-three thousand, one hundred sixty-eight".