11144540310456 has 128 divisors (see below), whose sum is σ = 32942448576000. Its totient is φ = 3074083364352.

The previous prime is 11144540310373. The next prime is 11144540310457. The reversal of 11144540310456 is 65401304544111.

11144540310456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144540310457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58305250 + ... + 58496078.

It is an arithmetic number, because the mean of its divisors is an integer number (257362879500).

Almost surely, 2^{11144540310456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144540310456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16471224288000).

11144540310456 is an abundant number, since it is smaller than the sum of its proper divisors (21797908265544).

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

11144540310456 is a wasteful number, since it uses less digits than its factorization.

11144540310456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202861 (or 202857 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

Adding to 11144540310456 its reverse (65401304544111), we get a palindrome (76545844854567).

The spelling of 11144540310456 in words is "eleven trillion, one hundred forty-four billion, five hundred forty million, three hundred ten thousand, four hundred fifty-six".