11300310414 has 48 divisors (see below), whose sum is σ = 25983603360. Its totient is φ = 3537077760.

The previous prime is 11300310409. The next prime is 11300310419. The reversal of 11300310414 is 41401300311.

11300310414 is a `hidden beast` number, since 11 + 300 + 310 + 41 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11300310409) and next prime (11300310419).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300310419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92274 + ... + 176394.

It is an arithmetic number, because the mean of its divisors is an integer number (541325070).

Almost surely, 2^11300310414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300310414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991801680).

11300310414 is an abundant number, since it is smaller than the sum of its proper divisors (14683292946).

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

11300310414 is a wasteful number, since it uses less digits than its factorization.

11300310414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84585 (or 84582 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11300310414 its reverse (41401300311), we get a palindrome (52701610725).

The spelling of 11300310414 in words is "eleven billion, three hundred million, three hundred ten thousand, four hundred fourteen".