609350713344 has 432 divisors, whose sum is σ = 1914944129280. Its totient is φ = 186006896640.

The previous prime is 609350713333. The next prime is 609350713369. The reversal of 609350713344 is 443317053906.

609350713344 is a `hidden beast` number, since 6 + 0 + 9 + 3 + 507 + 133 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 609350713344.

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, 694812234 + ... + 694813110.

It is an arithmetic number, because the mean of its divisors is an integer number (4432741040).

Almost surely, 2^609350713344 is an apocalyptic number.

609350713344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609350713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957472064640).

609350713344 is an abundant number, since it is smaller than the sum of its proper divisors (1305593415936).

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

609350713344 is an equidigital number, since it uses as much as digits as its factorization.

609350713344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 609350713344 in words is "six hundred nine billion, three hundred fifty million, seven hundred thirteen thousand, three hundred forty-four".