1328248456704 has 240 divisors, whose sum is σ = 4195981533744. Its totient is φ = 401990860800.

The previous prime is 1328248456687. The next prime is 1328248456729. The reversal of 1328248456704 is 4076548428231.

1328248456704 is a `hidden beast` number, since 1 + 3 + 2 + 82 + 48 + 456 + 70 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3472399 + ... + 3835889.

Almost surely, 2^{1328248456704} 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 1328248456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097990766872).

1328248456704 is an abundant number, since it is smaller than the sum of its proper divisors (2867733077040).

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

1328248456704 is a wasteful number, since it uses less digits than its factorization.

1328248456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363589 (or 363570 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 1328248456704 in words is "one trillion, three hundred twenty-eight billion, two hundred forty-eight million, four hundred fifty-six thousand, seven hundred four".