11242645344 has 384 divisors, whose sum is σ = 39713587200. Its totient is φ = 3022686720.

The previous prime is 11242645339. The next prime is 11242645357. The reversal of 11242645344 is 44354624211.

11242645344 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 645 + 3 + 4 + 4 = 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 = 11242645299 and 11242645308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26084809 + ... + 26085239.

It is an arithmetic number, because the mean of its divisors is an integer number (103420800).

Almost surely, 2^11242645344 is an apocalyptic number.

11242645344 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 11242645344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856793600).

11242645344 is an abundant number, since it is smaller than the sum of its proper divisors (28470941856).

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

11242645344 is a wasteful number, since it uses less digits than its factorization.

11242645344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 11242645344 in words is "eleven billion, two hundred forty-two million, six hundred forty-five thousand, three hundred forty-four".