11111364 has 96 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 3278880.

The previous prime is 11111341. The next prime is 11111393. The reversal of 11111364 is 46311111.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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 31 ways as a sum of consecutive naturals, for example, 55737 + ... + 55935.

It is an arithmetic number, because the mean of its divisors is an integer number (336000).

Almost surely, 2^11111364 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 11111364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

11111364 is an abundant number, since it is smaller than the sum of its proper divisors (21144636).

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

11111364 is a wasteful number, since it uses less digits than its factorization.

11111364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

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

The square root of 11111364 is about 3333.3712664508. The cubic root of 11111364 is about 223.1460096028.

Adding to 11111364 its reverse (46311111), we get a palindrome (57422475).

It can be divided in two parts, 11111 and 364, that multiplied together give a palindrome (4044404).

The spelling of 11111364 in words is "eleven million, one hundred eleven thousand, three hundred sixty-four".