11748352 has 88 divisors (see below), whose sum is σ = 29476800. Its totient is φ = 4546560.

The previous prime is 11748323. The next prime is 11748353. The reversal of 11748352 is 25384711.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (11748353) 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, 78774 + ... + 78922.

Almost surely, 2^11748352 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 11748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738400).

11748352 is an abundant number, since it is smaller than the sum of its proper divisors (17728448).

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

11748352 is a wasteful number, since it uses less digits than its factorization.

11748352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 11748352 is about 3427.5869062651. The cubic root of 11748352 is about 227.3311680598.

It can be divided in two parts, 11748 and 352, that added together give a square (12100 = 110²).

The spelling of 11748352 in words is "eleven million, seven hundred forty-eight thousand, three hundred fifty-two".