11148909984 has 288 divisors, whose sum is σ = 35223552000. Its totient is φ = 3458329344.

The previous prime is 11148909983. The next prime is 11148910027. The reversal of 11148909984 is 48990984111.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11148909984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11148909983) 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, 8716257 + ... + 8717535.

It is an arithmetic number, because the mean of its divisors is an integer number (122304000).

Almost surely, 2^11148909984 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 11148909984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776000).

11148909984 is an abundant number, since it is smaller than the sum of its proper divisors (24074642016).

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

11148909984 is a wasteful number, since it uses less digits than its factorization.

11148909984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 11148909984 in words is "eleven billion, one hundred forty-eight million, nine hundred nine thousand, nine hundred eighty-four".