11409838848 has 180 divisors, whose sum is σ = 34210350328. Its totient is φ = 3782246400.

The previous prime is 11409838837. The next prime is 11409838849. The reversal of 11409838848 is 84883890411.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11409838794 and 11409838803.

It is not an unprimeable number, because it can be changed into a prime (11409838849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4000623 + ... + 4003473.

Almost surely, 2^11409838848 is an apocalyptic number.

11409838848 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 11409838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17105175164).

11409838848 is an abundant number, since it is smaller than the sum of its proper divisors (22800511480).

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

11409838848 is an equidigital number, since it uses as much as digits as its factorization.

11409838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 11409838848 in words is "eleven billion, four hundred nine million, eight hundred thirty-eight thousand, eight hundred forty-eight".