11046144 has 72 divisors (see below), whose sum is σ = 30987040. Its totient is φ = 3483648.

The previous prime is 11046143. The next prime is 11046193. The reversal of 11046144 is 44164011.

It is a self number, because there is not a number n which added to its sum of digits gives 11046144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11046143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14214 + ... + 14970.

Almost surely, 2^11046144 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 11046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493520).

11046144 is an abundant number, since it is smaller than the sum of its proper divisors (19940896).

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

11046144 is an equidigital number, since it uses as much as digits as its factorization.

11046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11046144 is about 3323.5739799198. The cubic root of 11046144 is about 222.7085550335.

The spelling of 11046144 in words is "eleven million, forty-six thousand, one hundred forty-four".