11120247648 has 192 divisors, whose sum is σ = 34566739200. Its totient is φ = 3511237248.

The previous prime is 11120247647. The next prime is 11120247653. The reversal of 11120247648 is 84674202111.

It is a happy number.

11120247648 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 0 + 2 + 4 + 7 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120247641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325515 + ... + 1333877.

It is an arithmetic number, because the mean of its divisors is an integer number (180035100).

Almost surely, 2^11120247648 is an apocalyptic number.

11120247648 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 11120247648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17283369600).

11120247648 is an abundant number, since it is smaller than the sum of its proper divisors (23446491552).

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

11120247648 is an frugal number, since it uses more digits than its factorization.

11120247648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8413 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 11120247648 its reverse (84674202111), we get a palindrome (95794449759).

The spelling of 11120247648 in words is "eleven billion, one hundred twenty million, two hundred forty-seven thousand, six hundred forty-eight".