350506850164016 has 640 divisors, whose sum is σ = 968091798159360. Its totient is φ = 118966114713600.

The previous prime is 350506850164013. The next prime is 350506850164027. The reversal of 350506850164016 is 610461058605053.

It is a super-2 number, since 2×350506850164016² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (350506850164013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 912141875 + ... + 912526061.

It is an arithmetic number, because the mean of its divisors is an integer number (1512643434624).

Almost surely, 2^{350506850164016} 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 350506850164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484045899079680).

350506850164016 is an abundant number, since it is smaller than the sum of its proper divisors (617584947995344).

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

350506850164016 is a wasteful number, since it uses less digits than its factorization.

350506850164016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384333 (or 384327 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 50.

The spelling of 350506850164016 in words is "three hundred fifty trillion, five hundred six billion, eight hundred fifty million, one hundred sixty-four thousand, sixteen".