11809654848 has 280 divisors, whose sum is σ = 36998818560. Its totient is φ = 3718794240.

The previous prime is 11809654811. The next prime is 11809654849. The reversal of 11809654848 is 84845690811.

It is a happy number.

11809654848 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 96 + 548 + 4 + 8 = 666.

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 = 11809654794 and 11809654803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11809654849) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6909418 + ... + 6911126.

Almost surely, 2^11809654848 is an apocalyptic number.

11809654848 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 11809654848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499409280).

11809654848 is an abundant number, since it is smaller than the sum of its proper divisors (25189163712).

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

11809654848 is a wasteful number, since it uses less digits than its factorization.

11809654848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 11809654848 in words is "eleven billion, eight hundred nine million, six hundred fifty-four thousand, eight hundred forty-eight".