11330134144 has 128 divisors (see below), whose sum is σ = 27362177280. Its totient is φ = 4568002560.

The previous prime is 11330134111. The next prime is 11330134183. The reversal of 11330134144 is 44143103311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11330134144² (a number of 21 digits) contains 22 as substring.

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, 1252582 + ... + 1261594.

It is an arithmetic number, because the mean of its divisors is an integer number (213767010).

Almost surely, 2^11330134144 is an apocalyptic number.

11330134144 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 11330134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681088640).

11330134144 is an abundant number, since it is smaller than the sum of its proper divisors (16032043136).

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

11330134144 is an equidigital number, since it uses as much as digits as its factorization.

11330134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9118 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 11330134144 its reverse (44143103311), we get a palindrome (55473237455).

The spelling of 11330134144 in words is "eleven billion, three hundred thirty million, one hundred thirty-four thousand, one hundred forty-four".