11168603639424 has 768 divisors, whose sum is σ = 42577731855360. Its totient is φ = 2720541081600.

The previous prime is 11168603639411. The next prime is 11168603639447. The reversal of 11168603639424 is 42493630686111.

It is a happy number.

11168603639424 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 8 + 603 + 6 + 3 + 9 + 4 + 24 = 666.

It is a super-4 number, since 4×11168603639424⁴ (a number of 53 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426741859 + ... + 426768029.

It is an arithmetic number, because the mean of its divisors is an integer number (55439755020).

Almost surely, 2^{11168603639424} is an apocalyptic number.

11168603639424 is a gapful number since it is divisible by the number (14) 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 11168603639424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288865927680).

11168603639424 is an abundant number, since it is smaller than the sum of its proper divisors (31409128215936).

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

11168603639424 is a wasteful number, since it uses less digits than its factorization.

11168603639424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26509 (or 26494 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 11168603639424 in words is "eleven trillion, one hundred sixty-eight billion, six hundred three million, six hundred thirty-nine thousand, four hundred twenty-four".