11141145312 has 96 divisors (see below), whose sum is σ = 32262935040. Its totient is φ = 3338142720.

The previous prime is 11141145307. The next prime is 11141145319. The reversal of 11141145312 is 21354114111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141145319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34713 + ... + 153255.

It is an arithmetic number, because the mean of its divisors is an integer number (336072240).

Almost surely, 2^11141145312 is an apocalyptic number.

11141145312 is a gapful number since it is divisible by the number (12) 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 11141145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16131467520).

11141145312 is an abundant number, since it is smaller than the sum of its proper divisors (21121789728).

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

11141145312 is a wasteful number, since it uses less digits than its factorization.

11141145312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118656 (or 118648 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

Adding to 11141145312 its reverse (21354114111), we get a palindrome (32495259423).

The spelling of 11141145312 in words is "eleven billion, one hundred forty-one million, one hundred forty-five thousand, three hundred twelve".