1448758919328 has 384 divisors, whose sum is σ = 4542214569984. Its totient is φ = 395624217600.

The previous prime is 1448758919299. The next prime is 1448758919329. The reversal of 1448758919328 is 8239198578441.

It is not an unprimeable number, because it can be changed into a prime (1448758919329) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1122198363 + ... + 1122199653.

It is an arithmetic number, because the mean of its divisors is an integer number (11828683776).

Almost surely, 2^{1448758919328} 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 1448758919328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271107284992).

1448758919328 is an abundant number, since it is smaller than the sum of its proper divisors (3093455650656).

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

1448758919328 is a wasteful number, since it uses less digits than its factorization.

1448758919328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1960 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 69.

The spelling of 1448758919328 in words is "one trillion, four hundred forty-eight billion, seven hundred fifty-eight million, nine hundred nineteen thousand, three hundred twenty-eight".