1609757399328 has 144 divisors (see below), whose sum is σ = 4581743394816. Its totient is φ = 494651888640.

The previous prime is 1609757399323. The next prime is 1609757399357. The reversal of 1609757399328 is 8239937579061.

It is not an unprimeable number, because it can be changed into a prime (1609757399321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12216033 + ... + 12347103.

It is an arithmetic number, because the mean of its divisors is an integer number (31817662464).

Almost surely, 2^{1609757399328} 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 1609757399328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290871697408).

1609757399328 is an abundant number, since it is smaller than the sum of its proper divisors (2971985995488).

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

1609757399328 is a wasteful number, since it uses less digits than its factorization.

1609757399328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131867 (or 131846 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 69.

The spelling of 1609757399328 in words is "one trillion, six hundred nine billion, seven hundred fifty-seven million, three hundred ninety-nine thousand, three hundred twenty-eight".