11711848608768 has 2112 divisors, whose sum is σ = 44479500779520. Its totient is φ = 2653146316800.

The previous prime is 11711848608767. The next prime is 11711848608769. The reversal of 11711848608768 is 86780684811711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11711848608767) and next prime (11711848608769).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 11711848608699 and 11711848608708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11711848608767) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 92219280321 + ... + 92219280447.

Almost surely, 2^{11711848608768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11711848608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239750389760).

11711848608768 is an abundant number, since it is smaller than the sum of its proper divisors (32767652170752).

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

11711848608768 is a wasteful number, since it uses less digits than its factorization.

11711848608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 66.

The spelling of 11711848608768 in words is "eleven trillion, seven hundred eleven billion, eight hundred forty-eight million, six hundred eight thousand, seven hundred sixty-eight".