11439726048 has 216 divisors, whose sum is σ = 34206511248. Its totient is φ = 3625703424.

The previous prime is 11439726047. The next prime is 11439726143. The reversal of 11439726048 is 84062793411.

11439726048 is a `hidden beast` number, since 1 + 1 + 4 + 39 + 7 + 2 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11439725994 and 11439726012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11439726047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17680861 + ... + 17681507.

It is an arithmetic number, because the mean of its divisors is an integer number (158363478).

Almost surely, 2^11439726048 is an apocalyptic number.

11439726048 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 11439726048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17103255624).

11439726048 is an abundant number, since it is smaller than the sum of its proper divisors (22766785200).

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

11439726048 is a wasteful number, since it uses less digits than its factorization.

11439726048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11439726048 in words is "eleven billion, four hundred thirty-nine million, seven hundred twenty-six thousand, forty-eight".