11806702848 has 216 divisors, whose sum is σ = 34760161800. Its totient is φ = 3853516800.

The previous prime is 11806702829. The next prime is 11806702867. The reversal of 11806702848 is 84820760811.

It is an interprime number because it is at equal distance from previous prime (11806702829) and next prime (11806702867).

It can be written as a sum of positive squares in 4 ways, for example, as 1924752384 + 9881950464 = 43872^2 + 99408^2 .

It is a super-2 number, since 2×11806702848² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26295328 + ... + 26295776.

It is an arithmetic number, because the mean of its divisors is an integer number (160926675).

Almost surely, 2^11806702848 is an apocalyptic number.

11806702848 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 11806702848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380080900).

11806702848 is an abundant number, since it is smaller than the sum of its proper divisors (22953458952).

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

11806702848 is a wasteful number, since it uses less digits than its factorization.

11806702848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11806702848 in words is "eleven billion, eight hundred six million, seven hundred two thousand, eight hundred forty-eight".