11114124648 has 64 divisors (see below), whose sum is σ = 30358998720. Its totient is φ = 3362611200.

The previous prime is 11114124641. The next prime is 11114124649. The reversal of 11114124648 is 84642141111.

It is a super-2 number, since 2×11114124648² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11114124641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136386 + ... + 202062.

It is an arithmetic number, because the mean of its divisors is an integer number (474359355).

Almost surely, 2^11114124648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11114124648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179499360).

11114124648 is an abundant number, since it is smaller than the sum of its proper divisors (19244874072).

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

11114124648 is a wasteful number, since it uses less digits than its factorization.

11114124648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66338 (or 66334 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

Adding to 11114124648 its reverse (84642141111), we get a palindrome (95756265759).

The spelling of 11114124648 in words is "eleven billion, one hundred fourteen million, one hundred twenty-four thousand, six hundred forty-eight".