1448616793728 has 512 divisors, whose sum is σ = 4351618656000. Its totient is φ = 423908868096.

The previous prime is 1448616793709. The next prime is 1448616793753. The reversal of 1448616793728 is 8273976168441.

It is an unprimeable number.

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, 3883690950 + ... + 3883691322.

Almost surely, 2^{1448616793728} 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 1448616793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175809328000).

1448616793728 is an abundant number, since it is smaller than the sum of its proper divisors (2903001862272).

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

1448616793728 is a wasteful number, since it uses less digits than its factorization.

1448616793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 752 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 66.

The spelling of 1448616793728 in words is "one trillion, four hundred forty-eight billion, six hundred sixteen million, seven hundred ninety-three thousand, seven hundred twenty-eight".