11456305133140 has 384 divisors, whose sum is σ = 30544718561280. Its totient is φ = 3519008064000.

The previous prime is 11456305133129. The next prime is 11456305133149. The reversal of 11456305133140 is 4133150365411.

It is a self number, because there is not a number n which added to its sum of digits gives 11456305133140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11456305133149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2268123615 + ... + 2268128665.

It is an arithmetic number, because the mean of its divisors is an integer number (79543537920).

Almost surely, 2^{11456305133140} is an apocalyptic number.

11456305133140 is a gapful number since it is divisible by the number (10) 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 11456305133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272359280640).

11456305133140 is an abundant number, since it is smaller than the sum of its proper divisors (19088413428140).

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

11456305133140 is a wasteful number, since it uses less digits than its factorization.

11456305133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 11456305133140 its reverse (4133150365411), we get a palindrome (15589455498551).

The spelling of 11456305133140 in words is "eleven trillion, four hundred fifty-six billion, three hundred five million, one hundred thirty-three thousand, one hundred forty".