11314410336 has 144 divisors (see below), whose sum is σ = 32680065600. Its totient is φ = 3712610304.

The previous prime is 11314410329. The next prime is 11314410343. The reversal of 11314410336 is 63301441311.

11314410336 is a `hidden beast` number, since 1 + 1 + 314 + 4 + 10 + 336 = 666.

It is an interprime number because it is at equal distance from previous prime (11314410329) and next prime (11314410343).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11580280 + ... + 11581256.

It is an arithmetic number, because the mean of its divisors is an integer number (226944900).

Almost surely, 2^11314410336 is an apocalyptic number.

11314410336 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 11314410336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16340032800).

11314410336 is an abundant number, since it is smaller than the sum of its proper divisors (21365655264).

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

11314410336 is a wasteful number, since it uses less digits than its factorization.

11314410336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11314410336 its reverse (63301441311), we get a palindrome (74615851647).

The spelling of 11314410336 in words is "eleven billion, three hundred fourteen million, four hundred ten thousand, three hundred thirty-six".