1597345839768 has 256 divisors, whose sum is σ = 4868739072000. Its totient is φ = 426550924800.

The previous prime is 1597345839703. The next prime is 1597345839799. The reversal of 1597345839768 is 8679385437951.

It is a self number, because there is not a number n which added to its sum of digits gives 1597345839768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582758878 + ... + 582761618.

It is an arithmetic number, because the mean of its divisors is an integer number (19018512000).

Almost surely, 2^{1597345839768} 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 1597345839768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434369536000).

1597345839768 is an abundant number, since it is smaller than the sum of its proper divisors (3271393232232).

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

1597345839768 is a wasteful number, since it uses less digits than its factorization.

1597345839768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5162 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 75.

The spelling of 1597345839768 in words is "one trillion, five hundred ninety-seven billion, three hundred forty-five million, eight hundred thirty-nine thousand, seven hundred sixty-eight".