11998084128 has 192 divisors, whose sum is σ = 34320384000. Its totient is φ = 3657083904.

The previous prime is 11998084123. The next prime is 11998084129. The reversal of 11998084128 is 82148089911.

It is not an unprimeable number, because it can be changed into a prime (11998084123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9380193 + ... + 9381471.

It is an arithmetic number, because the mean of its divisors is an integer number (178752000).

Almost surely, 2^11998084128 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 11998084128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160192000).

11998084128 is an abundant number, since it is smaller than the sum of its proper divisors (22322299872).

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

11998084128 is a wasteful number, since it uses less digits than its factorization.

11998084128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 51.

The spelling of 11998084128 in words is "eleven billion, nine hundred ninety-eight million, eighty-four thousand, one hundred twenty-eight".