1144316160 has 432 divisors, whose sum is σ = 4437311424. Its totient is φ = 280682496.

The previous prime is 1144316153. The next prime is 1144316161. The reversal of 1144316160 is 616134411.

1144316160 is a `hidden beast` number, since 1 + 1 + 4 + 43 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1144316161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043379 + ... + 4043661.

Almost surely, 2^1144316160 is an apocalyptic number.

1144316160 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 1144316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218655712).

1144316160 is an abundant number, since it is smaller than the sum of its proper divisors (3292995264).

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

1144316160 is an equidigital number, since it uses as much as digits as its factorization.

1144316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1144316160 is about 33827.7424608856. The cubic root of 1144316160 is about 1045.9606437646.

The spelling of 1144316160 in words is "one billion, one hundred forty-four million, three hundred sixteen thousand, one hundred sixty".