11845456 has 60 divisors (see below), whose sum is σ = 27671220. Its totient is φ = 4892160.

The previous prime is 11845453. The next prime is 11845459. The reversal of 11845456 is 65454811.

It is an interprime number because it is at equal distance from previous prime (11845453) and next prime (11845459).

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 7075600 = 2184^2 + 2660^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11845453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22476 + ... + 22996.

It is an arithmetic number, because the mean of its divisors is an integer number (461187).

Almost surely, 2^11845456 is an apocalyptic number.

11845456 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 11845456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13835610).

11845456 is an abundant number, since it is smaller than the sum of its proper divisors (15825764).

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

11845456 is a wasteful number, since it uses less digits than its factorization.

11845456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 559 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 11845456 is about 3441.7228244006. The cubic root of 11845456 is about 227.9557726874.

The spelling of 11845456 in words is "eleven million, eight hundred forty-five thousand, four hundred fifty-six".