11305054384 has 80 divisors (see below), whose sum is σ = 24227199360. Its totient is φ = 5077693440.

The previous prime is 11305054381. The next prime is 11305054403. The reversal of 11305054384 is 48345050311.

It is a super-3 number, since 3×11305054384³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11305054381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1766262 + ... + 1772650.

It is an arithmetic number, because the mean of its divisors is an integer number (302839992).

Almost surely, 2^11305054384 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 11305054384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113599680).

11305054384 is an abundant number, since it is smaller than the sum of its proper divisors (12922144976).

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

11305054384 is a wasteful number, since it uses less digits than its factorization.

11305054384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 11305054384 in words is "eleven billion, three hundred five million, fifty-four thousand, three hundred eighty-four".