1463144448000 has 1024 divisors, whose sum is σ = 5276286812160. Its totient is φ = 359006208000.

The previous prime is 1463144447819. The next prime is 1463144448037. The reversal of 1463144448000 is 8444413641.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a self number, because there is not a number n which added to its sum of digits gives 1463144448000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8761343917 + ... + 8761344083.

It is an arithmetic number, because the mean of its divisors is an integer number (5152623840).

Almost surely, 2^{1463144448000} is an apocalyptic number.

1463144448000 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 1463144448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638143406080).

1463144448000 is an abundant number, since it is smaller than the sum of its proper divisors (3813142364160).

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

1463144448000 is an equidigital number, since it uses as much as digits as its factorization.

1463144448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 1463144448000 in words is "one trillion, four hundred sixty-three billion, one hundred forty-four million, four hundred forty-eight thousand".