11244387456 has 192 divisors, whose sum is σ = 33522128640. Its totient is φ = 3614054400.

The previous prime is 11244387443. The next prime is 11244387463. The reversal of 11244387456 is 65478344211.

11244387456 is a `hidden beast` number, since 112 + 4 + 4 + 3 + 87 + 456 = 666.

11244387456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16462891 + ... + 16463573.

It is an arithmetic number, because the mean of its divisors is an integer number (174594420).

Almost surely, 2^11244387456 is an apocalyptic number.

11244387456 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 11244387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761064320).

11244387456 is an abundant number, since it is smaller than the sum of its proper divisors (22277741184).

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

11244387456 is a wasteful number, since it uses less digits than its factorization.

11244387456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1180 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 11244387456 in words is "eleven billion, two hundred forty-four million, three hundred eighty-seven thousand, four hundred fifty-six".