11463784500 has 384 divisors, whose sum is σ = 40389672960. Its totient is φ = 2471040000.

The previous prime is 11463784489. The next prime is 11463784529. The reversal of 11463784500 is 548736411.

11463784500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 13345071 + ... + 13345929.

It is an arithmetic number, because the mean of its divisors is an integer number (105181440).

Almost surely, 2^11463784500 is an apocalyptic number.

11463784500 is a gapful number since it is divisible by the number (10) 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 11463784500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20194836480).

11463784500 is an abundant number, since it is smaller than the sum of its proper divisors (28925888460).

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

11463784500 is a wasteful number, since it uses less digits than its factorization.

11463784500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 11463784500 in words is "eleven billion, four hundred sixty-three million, seven hundred eighty-four thousand, five hundred".