305305353350016 has 256 divisors, whose sum is σ = 843713162772480. Its totient is φ = 97745695488000.

The previous prime is 305305353349999. The next prime is 305305353350029. The reversal of 305305353350016 is 610053353503503.

It is a super-2 number, since 2×305305353350016² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305305353350016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448670841 + ... + 449350791.

It is an arithmetic number, because the mean of its divisors is an integer number (3295754542080).

Almost surely, 2^{305305353350016} 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 305305353350016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421856581386240).

305305353350016 is an abundant number, since it is smaller than the sum of its proper divisors (538407809422464).

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

305305353350016 is a wasteful number, since it uses less digits than its factorization.

305305353350016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680465 (or 680453 counting only the distinct ones).

The product of its (nonzero) digits is 911250, while the sum is 42.

The spelling of 305305353350016 in words is "three hundred five trillion, three hundred five billion, three hundred fifty-three million, three hundred fifty thousand, sixteen".