11268601344 has 720 divisors, whose sum is σ = 44572928400. Its totient is φ = 2694021120.

The previous prime is 11268601327. The next prime is 11268601373. The reversal of 11268601344 is 44310686211.

11268601344 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 8 + 601 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11268601299 and 11268601308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32288082 + ... + 32288430.

It is an arithmetic number, because the mean of its divisors is an integer number (61906845).

Almost surely, 2^11268601344 is an apocalyptic number.

11268601344 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 11268601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286464200).

11268601344 is an abundant number, since it is smaller than the sum of its proper divisors (33304327056).

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

11268601344 is a wasteful number, since it uses less digits than its factorization.

11268601344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11268601344 in words is "eleven billion, two hundred sixty-eight million, six hundred one thousand, three hundred forty-four".