11456113444256 has 96 divisors (see below), whose sum is σ = 24363326308608. Its totient is φ = 5271302292480.

The previous prime is 11456113444247. The next prime is 11456113444319. The reversal of 11456113444256 is 65244431165411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11456113444256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545181206 + ... + 545202218.

It is an arithmetic number, because the mean of its divisors is an integer number (253784649048).

Almost surely, 2^{11456113444256} is an apocalyptic number.

11456113444256 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 11456113444256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12181663154304).

11456113444256 is an abundant number, since it is smaller than the sum of its proper divisors (12907212864352).

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

11456113444256 is a wasteful number, since it uses less digits than its factorization.

11456113444256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24974 (or 24966 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 47.

The spelling of 11456113444256 in words is "eleven trillion, four hundred fifty-six billion, one hundred thirteen million, four hundred forty-four thousand, two hundred fifty-six".