1144616312 has 128 divisors (see below), whose sum is σ = 2672524800. Its totient is φ = 449100288.

The previous prime is 1144616293. The next prime is 1144616323. The reversal of 1144616312 is 2136164411.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2583563 + ... + 2584005.

It is an arithmetic number, because the mean of its divisors is an integer number (20879100).

Almost surely, 2^1144616312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144616312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336262400).

1144616312 is an abundant number, since it is smaller than the sum of its proper divisors (1527908488).

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

1144616312 is a wasteful number, since it uses less digits than its factorization.

1144616312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 1144616312 is about 33832.1786469627. The cubic root of 1144616312 is about 1046.0520869470.

The spelling of 1144616312 in words is "one billion, one hundred forty-four million, six hundred sixteen thousand, three hundred twelve".