11465022336 has 128 divisors (see below), whose sum is σ = 31861209600. Its totient is φ = 3645954048.

The previous prime is 11465022307. The next prime is 11465022337. The reversal of 11465022336 is 63322056411.

11465022336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11465022297 and 11465022306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11465022337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3875770 + ... + 3878726.

It is an arithmetic number, because the mean of its divisors is an integer number (248915700).

Almost surely, 2^11465022336 is an apocalyptic number.

11465022336 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 11465022336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930604800).

11465022336 is an abundant number, since it is smaller than the sum of its proper divisors (20396187264).

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

11465022336 is a wasteful number, since it uses less digits than its factorization.

11465022336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 11465022336 its reverse (63322056411), we get a palindrome (74787078747).

The spelling of 11465022336 in words is "eleven billion, four hundred sixty-five million, twenty-two thousand, three hundred thirty-six".