1144352160 has 288 divisors, whose sum is σ = 4508929152. Its totient is φ = 258877440.

The previous prime is 1144352147. The next prime is 1144352171. The reversal of 1144352160 is 612534411.

It is a happy number.

1144352160 is a `hidden beast` number, since 1 + 1 + 443 + 5 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078030 + ... + 1079090.

It is an arithmetic number, because the mean of its divisors is an integer number (15656004).

Almost surely, 2^1144352160 is an apocalyptic number.

1144352160 is a gapful number since it is divisible by the number (10) 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 1144352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254464576).

1144352160 is an abundant number, since it is smaller than the sum of its proper divisors (3364576992).

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

1144352160 is a wasteful number, since it uses less digits than its factorization.

1144352160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1144352160 is about 33828.2745643345. The cubic root of 1144352160 is about 1045.9716122334.

Adding to 1144352160 its reverse (612534411), we get a palindrome (1756886571).

The spelling of 1144352160 in words is "one billion, one hundred forty-four million, three hundred fifty-two thousand, one hundred sixty".