11209671648 has 288 divisors, whose sum is σ = 38173524480. Its totient is φ = 3169497600.

The previous prime is 11209671619. The next prime is 11209671673. The reversal of 11209671648 is 84617690211.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5496613 + ... + 5498651.

It is an arithmetic number, because the mean of its divisors is an integer number (132546960).

Almost surely, 2^11209671648 is an apocalyptic number.

11209671648 is a gapful number since it is divisible by the number (18) 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 11209671648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19086762240).

11209671648 is an abundant number, since it is smaller than the sum of its proper divisors (26963852832).

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

11209671648 is a wasteful number, since it uses less digits than its factorization.

11209671648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11209671648 in words is "eleven billion, two hundred nine million, six hundred seventy-one thousand, six hundred forty-eight".