1144896000 has 320 divisors, whose sum is σ = 3906714240. Its totient is φ = 297369600.

The previous prime is 1144895989. The next prime is 1144896019. The reversal of 1144896000 is 6984411.

It is a tau number, because it is divible by the number of its divisors (320).

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, 12863956 + ... + 12864044.

It is an arithmetic number, because the mean of its divisors is an integer number (12208482).

Almost surely, 2^1144896000 is an apocalyptic number.

1144896000 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 1144896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953357120).

1144896000 is an abundant number, since it is smaller than the sum of its proper divisors (2761818240).

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

1144896000 is an frugal number, since it uses more digits than its factorization.

1144896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1144896000 is about 33836.3118557564. The cubic root of 1144896000 is about 1046.1372812567.

The spelling of 1144896000 in words is "one billion, one hundred forty-four million, eight hundred ninety-six thousand".