11344208128 has 72 divisors (see below), whose sum is σ = 24732612576. Its totient is φ = 5150208000.

The previous prime is 11344208101. The next prime is 11344208131. The reversal of 11344208128 is 82180244311.

It is a junction number, because it is equal to n+sod(n) for n = 11344208093 and 11344208102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2957700 + ... + 2961532.

It is an arithmetic number, because the mean of its divisors is an integer number (343508508).

Almost surely, 2^11344208128 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 11344208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366306288).

11344208128 is an abundant number, since it is smaller than the sum of its proper divisors (13388404448).

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

11344208128 is a wasteful number, since it uses less digits than its factorization.

11344208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 11344208128 in words is "eleven billion, three hundred forty-four million, two hundred eight thousand, one hundred twenty-eight".