11011738248 has 288 divisors, whose sum is σ = 36738187200. Its totient is φ = 2965890816.

The previous prime is 11011738237. The next prime is 11011738279. The reversal of 11011738248 is 84283711011.

It is a super-2 number, since 2×11011738248² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4398165 + ... + 4400667.

It is an arithmetic number, because the mean of its divisors is an integer number (127563150).

Almost surely, 2^11011738248 is an apocalyptic number.

11011738248 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 11011738248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369093600).

11011738248 is an abundant number, since it is smaller than the sum of its proper divisors (25726448952).

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

11011738248 is a wasteful number, since it uses less digits than its factorization.

11011738248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11011738248 in words is "eleven billion, eleven million, seven hundred thirty-eight thousand, two hundred forty-eight".