1353329708928 has 128 divisors (see below), whose sum is σ = 3687935892480. Its totient is φ = 439568953344.

The previous prime is 1353329708897. The next prime is 1353329708933. The reversal of 1353329708928 is 8298079233531.

It is a Cunningham number, because it is equal to 1163327²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035825 + ... + 2617487.

It is an arithmetic number, because the mean of its divisors is an integer number (28811999160).

Almost surely, 2^{1353329708928} 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 1353329708928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843967946240).

1353329708928 is an abundant number, since it is smaller than the sum of its proper divisors (2334606183552).

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

1353329708928 is an equidigital number, since it uses as much as digits as its factorization.

1353329708928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581836 (or 581824 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 1353329708928 in words is "one trillion, three hundred fifty-three billion, three hundred twenty-nine million, seven hundred eight thousand, nine hundred twenty-eight".