957830201344 has 51 divisors (see below), whose sum is σ = 1916147002863. Its totient is φ = 478789828608.

The previous prime is 957830201333. The next prime is 957830201347. The reversal of 957830201344 is 443102038759.

The square root of 957830201344 is 978688.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 957830201294 and 957830201303.

It is not an unprimeable number, because it can be changed into a prime (957830201347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 250542217 + ... + 250546039.

Almost surely, 2^957830201344 is an apocalyptic number.

957830201344 is the 978688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957830201344

957830201344 is an abundant number, since it is smaller than the sum of its proper divisors (958316801519).

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

957830201344 is an frugal number, since it uses more digits than its factorization.

957830201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 957830201344 in words is "nine hundred fifty-seven billion, eight hundred thirty million, two hundred one thousand, three hundred forty-four".