11934736128 has 576 divisors, whose sum is σ = 42593689600. Its totient is φ = 3224862720.

The previous prime is 11934736127. The next prime is 11934736141. The reversal of 11934736128 is 82163743911.

11934736128 is a `hidden beast` number, since 11 + 93 + 473 + 61 + 28 = 666.

11934736128 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 (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11934736127) 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 63 ways as a sum of consecutive naturals, for example, 109492938 + ... + 109493046.

Almost surely, 2^11934736128 is an apocalyptic number.

11934736128 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 11934736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21296844800).

11934736128 is an abundant number, since it is smaller than the sum of its proper divisors (30658953472).

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

11934736128 is a wasteful number, since it uses less digits than its factorization.

11934736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 11934736128 in words is "eleven billion, nine hundred thirty-four million, seven hundred thirty-six thousand, one hundred twenty-eight".