11301014144 has 64 divisors (see below), whose sum is σ = 25791964800. Its totient is φ = 4831626240.

The previous prime is 11301014141. The next prime is 11301014171. The reversal of 11301014144 is 44141010311.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11301014141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362237 + ... + 392195.

It is an arithmetic number, because the mean of its divisors is an integer number (402999450).

Almost surely, 2^11301014144 is an apocalyptic number.

11301014144 is a gapful number since it is divisible by the number (14) 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 11301014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12895982400).

11301014144 is an abundant number, since it is smaller than the sum of its proper divisors (14490950656).

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

11301014144 is an equidigital number, since it uses as much as digits as its factorization.

11301014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30401 (or 30389 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11301014144 its reverse (44141010311), we get a palindrome (55442024455).

The spelling of 11301014144 in words is "eleven billion, three hundred one million, fourteen thousand, one hundred forty-four".