11147083584 has 224 divisors, whose sum is σ = 37879080960. Its totient is φ = 2811967488.

The previous prime is 11147083553. The next prime is 11147083589. The reversal of 11147083584 is 48538074111.

11147083584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11147083589) by changing a digit.

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, 387987 + ... + 415725.

It is an arithmetic number, because the mean of its divisors is an integer number (169103040).

Almost surely, 2^11147083584 is an apocalyptic number.

11147083584 is a gapful number since it is divisible by the number (14) 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 11147083584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18939540480).

11147083584 is an abundant number, since it is smaller than the sum of its proper divisors (26731997376).

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

11147083584 is a wasteful number, since it uses less digits than its factorization.

11147083584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27797 (or 27787 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 11147083584 in words is "eleven billion, one hundred forty-seven million, eighty-three thousand, five hundred eighty-four".