11113641 has 72 divisors (see below), whose sum is σ = 21340800. Its totient is φ = 5503680.

The previous prime is 11113639. The next prime is 11113657. The reversal of 11113641 is 14631111.

11113641 is a `hidden beast` number, since 1 + 11 + 13 + 641 = 666.

It is not a de Polignac number, because 11113641 - 2¹ = 11113639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11113681) 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 71 ways as a sum of consecutive naturals, for example, 140640 + ... + 140718.

It is an arithmetic number, because the mean of its divisors is an integer number (296400).

Almost surely, 2^11113641 is an apocalyptic number.

11113641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11113641 is a deficient number, since it is larger than the sum of its proper divisors (10227159).

11113641 is a wasteful number, since it uses less digits than its factorization.

11113641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 11113641 is about 3333.7127950680. The cubic root of 11113641 is about 223.1612513187.

Adding to 11113641 its reverse (14631111), we get a palindrome (25744752).

It can be divided in two parts, 111 and 13641, that multiplied together give a palindrome (1514151).

The spelling of 11113641 in words is "eleven million, one hundred thirteen thousand, six hundred forty-one".