13311648 has 192 divisors, whose sum is σ = 46448640. Its totient is φ = 3628800.

The previous prime is 13311643. The next prime is 13311653. The reversal of 13311648 is 84611331.

13311648 is a `hidden beast` number, since 1 + 3 + 3 + 11 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (13311643) and next prime (13311653).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13311643) 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 31 ways as a sum of consecutive naturals, for example, 187453 + ... + 187523.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^13311648 is an apocalyptic number.

13311648 is a gapful number since it is divisible by the number (18) 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 13311648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

13311648 is an abundant number, since it is smaller than the sum of its proper divisors (33136992).

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

13311648 is a wasteful number, since it uses less digits than its factorization.

13311648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 13311648 is about 3648.5131218073. The cubic root of 13311648 is about 236.9975965146.

Adding to 13311648 its reverse (84611331), we get a palindrome (97922979).

It can be divided in two parts, 133 and 11648, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 13311648 in words is "thirteen million, three hundred eleven thousand, six hundred forty-eight".