11783944403968 has 88 divisors (see below), whose sum is σ = 25700432826240. Its totient is φ = 5355804241920.

The previous prime is 11783944403897. The next prime is 11783944403977. The reversal of 11783944403968 is 86930444938711.

11783944403968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-3 number, since 3×11783944403968³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126549555 + ... + 126642637.

Almost surely, 2^{11783944403968} 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 11783944403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850216413120).

11783944403968 is an abundant number, since it is smaller than the sum of its proper divisors (13916488422272).

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

11783944403968 is a wasteful number, since it uses less digits than its factorization.

11783944403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104353 (or 104335 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 67.

The spelling of 11783944403968 in words is "eleven trillion, seven hundred eighty-three billion, nine hundred forty-four million, four hundred three thousand, nine hundred sixty-eight".