11485056 has 64 divisors (see below), whose sum is σ = 33292800. Its totient is φ = 3479040.

The previous prime is 11485051. The next prime is 11485057. The reversal of 11485056 is 65058411.

11485056 = 71² + 72² + ... + 326².

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11485056² = 263813022646272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11485051) 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 7 ways as a sum of consecutive naturals, for example, 2865 + ... + 5583.

It is an arithmetic number, because the mean of its divisors is an integer number (520200).

Almost surely, 2^11485056 is an apocalyptic number.

11485056 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 11485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646400).

11485056 is an abundant number, since it is smaller than the sum of its proper divisors (21807744).

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

11485056 is a wasteful number, since it uses less digits than its factorization.

11485056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 11485056 is about 3388.9609026957. The cubic root of 11485056 is about 225.6200575698.

The spelling of 11485056 in words is "eleven million, four hundred eighty-five thousand, fifty-six".