11468928201984 has 288 divisors, whose sum is σ = 37005255262080. Its totient is φ = 3474833817600.

The previous prime is 11468928201979. The next prime is 11468928202031. The reversal of 11468928201984 is 48910282986411.

11468928201984 is a `hidden beast` number, since 1 + 1 + 468 + 9 + 2 + 82 + 0 + 1 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 664587084 + ... + 664604340.

It is an arithmetic number, because the mean of its divisors is an integer number (128490469660).

Almost surely, 2^{11468928201984} 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 11468928201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18502627631040).

11468928201984 is an abundant number, since it is smaller than the sum of its proper divisors (25536327060096).

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

11468928201984 is a wasteful number, since it uses less digits than its factorization.

11468928201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26034 (or 26014 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 11468928201984 in words is "eleven trillion, four hundred sixty-eight billion, nine hundred twenty-eight million, two hundred one thousand, nine hundred eighty-four".