11331456 has 64 divisors (see below), whose sum is σ = 31432320. Its totient is φ = 3610112.

The previous prime is 11331389. The next prime is 11331473. The reversal of 11331456 is 65413311.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8191 + ... + 9473.

It is an arithmetic number, because the mean of its divisors is an integer number (491130).

Almost surely, 2^11331456 is an apocalyptic number.

11331456 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 11331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716160).

11331456 is an abundant number, since it is smaller than the sum of its proper divisors (20100864).

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

11331456 is a wasteful number, since it uses less digits than its factorization.

11331456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1311 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 11331456 is about 3366.2228090250. Note that the first 3 decimals coincide. The cubic root of 11331456 is about 224.6097333432.

Adding to 11331456 its reverse (65413311), we get a palindrome (76744767).

The spelling of 11331456 in words is "eleven million, three hundred thirty-one thousand, four hundred fifty-six".