11213461216 has 48 divisors (see below), whose sum is σ = 23071112064. Its totient is φ = 5354867584.

The previous prime is 11213461201. The next prime is 11213461223. The reversal of 11213461216 is 61216431211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491535 + ... + 513841.

It is an arithmetic number, because the mean of its divisors is an integer number (480648168).

Almost surely, 2^11213461216 is an apocalyptic number.

11213461216 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 11213461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535556032).

11213461216 is an abundant number, since it is smaller than the sum of its proper divisors (11857650848).

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

11213461216 is a wasteful number, since it uses less digits than its factorization.

11213461216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23023 (or 23015 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

Adding to 11213461216 its reverse (61216431211), we get a palindrome (72429892427).

The spelling of 11213461216 in words is "eleven billion, two hundred thirteen million, four hundred sixty-one thousand, two hundred sixteen".