11963421938664 has 576 divisors, whose sum is σ = 40997921852160. Its totient is φ = 3254933445120.

The previous prime is 11963421938521. The next prime is 11963421938717. The reversal of 11963421938664 is 46683912436911.

It is a happy number.

11963421938664 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 34 + 219 + 386 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165614074 + ... + 165686294.

It is an arithmetic number, because the mean of its divisors is an integer number (71176947660).

Almost surely, 2^{11963421938664} is an apocalyptic number.

11963421938664 is a gapful number since it is divisible by the number (14) 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 11963421938664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498960926080).

11963421938664 is an abundant number, since it is smaller than the sum of its proper divisors (29034499913496).

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

11963421938664 is a wasteful number, since it uses less digits than its factorization.

11963421938664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72340 (or 72317 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 11963421938664 in words is "eleven trillion, nine hundred sixty-three billion, four hundred twenty-one million, nine hundred thirty-eight thousand, six hundred sixty-four".