11124707616 has 384 divisors, whose sum is σ = 37197619200. Its totient is φ = 3203712000.

The previous prime is 11124707611. The next prime is 11124707623. The reversal of 11124707616 is 61670742111.

11124707616 is a `hidden beast` number, since 1 + 11 + 24 + 7 + 0 + 7 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11124707611) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17971755 + ... + 17972373.

It is an arithmetic number, because the mean of its divisors is an integer number (96868800).

Almost surely, 2^11124707616 is an apocalyptic number.

11124707616 is a gapful number since it is divisible by the number (16) 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 11124707616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18598809600).

11124707616 is an abundant number, since it is smaller than the sum of its proper divisors (26072911584).

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

11124707616 is a wasteful number, since it uses less digits than its factorization.

11124707616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11124707616 in words is "eleven billion, one hundred twenty-four million, seven hundred seven thousand, six hundred sixteen".