11451648 has 144 divisors (see below), whose sum is σ = 34797056. Its totient is φ = 3317760.

The previous prime is 11451641. The next prime is 11451653. The reversal of 11451648 is 84615411.

It is a super-2 number, since 2×11451648² = 262280483831808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309486 + ... + 309522.

Almost surely, 2^11451648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17398528).

11451648 is an abundant number, since it is smaller than the sum of its proper divisors (23345408).

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

11451648 is a wasteful number, since it uses less digits than its factorization.

11451648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 11451648 is about 3384.0283686754. The cubic root of 11451648 is about 225.4010821421.

The spelling of 11451648 in words is "eleven million, four hundred fifty-one thousand, six hundred forty-eight".