11310364416 has 144 divisors (see below), whose sum is σ = 32540283776. Its totient is φ = 3466948608.

The previous prime is 11310364391. The next prime is 11310364421. The reversal of 11310364416 is 61446301311.

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 15 ways as a sum of consecutive naturals, for example, 2823471 + ... + 2827473.

Almost surely, 2^11310364416 is an apocalyptic number.

11310364416 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 11310364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16270141888).

11310364416 is an abundant number, since it is smaller than the sum of its proper divisors (21229919360).

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

11310364416 is a wasteful number, since it uses less digits than its factorization.

11310364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 11310364416 its reverse (61446301311), we get a palindrome (72756665727).

The spelling of 11310364416 in words is "eleven billion, three hundred ten million, three hundred sixty-four thousand, four hundred sixteen".