11601268224 has 480 divisors, whose sum is σ = 39498471936. Its totient is φ = 2998517760.

The previous prime is 11601268213. The next prime is 11601268243. The reversal of 11601268224 is 42286210611.

It is a happy number.

It is a super-2 number, since 2×11601268224² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69468589 + ... + 69468755.

Almost surely, 2^11601268224 is an apocalyptic number.

11601268224 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 11601268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19749235968).

11601268224 is an abundant number, since it is smaller than the sum of its proper divisors (27897203712).

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

11601268224 is a wasteful number, since it uses less digits than its factorization.

11601268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 11601268224 its reverse (42286210611), we get a palindrome (53887478835).

The spelling of 11601268224 in words is "eleven billion, six hundred one million, two hundred sixty-eight thousand, two hundred twenty-four".