11302302144 has 112 divisors (see below), whose sum is σ = 34495849728. Its totient is φ = 3199008768.

The previous prime is 11302302139. The next prime is 11302302181. The reversal of 11302302144 is 44120320311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11302302144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104512 + ... + 183104.

Almost surely, 2^11302302144 is an apocalyptic number.

11302302144 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 11302302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247924864).

11302302144 is an abundant number, since it is smaller than the sum of its proper divisors (23193547584).

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

11302302144 is a wasteful number, since it uses less digits than its factorization.

11302302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78722 (or 78712 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11302302144 its reverse (44120320311), we get a palindrome (55422622455).

The spelling of 11302302144 in words is "eleven billion, three hundred two million, three hundred two thousand, one hundred forty-four".