11923936128 has 384 divisors, whose sum is σ = 39405431520. Its totient is φ = 3565264896.

The previous prime is 11923936127. The next prime is 11923936139. The reversal of 11923936128 is 82163932911.

It is a happy number.

11923936128 is a `hidden beast` number, since 1 + 1 + 9 + 23 + 9 + 3 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (11923936127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14960626 + ... + 14961422.

Almost surely, 2^11923936128 is an apocalyptic number.

11923936128 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 11923936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19702715760).

11923936128 is an abundant number, since it is smaller than the sum of its proper divisors (27481495392).

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

11923936128 is an equidigital number, since it uses as much as digits as its factorization.

11923936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 852 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 11923936128 in words is "eleven billion, nine hundred twenty-three million, nine hundred thirty-six thousand, one hundred twenty-eight".