350946117168 has 160 divisors (see below), whose sum is σ = 965652480000. Its totient is φ = 109514550528.

The previous prime is 350946117143. The next prime is 350946117173. The reversal of 350946117168 is 861711649053.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 350946117168.

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, 46870321 + ... + 46877807.

It is an arithmetic number, because the mean of its divisors is an integer number (6035328000).

Almost surely, 2^350946117168 is an apocalyptic number.

350946117168 is a gapful number since it is divisible by the number (38) 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 350946117168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482826240000).

350946117168 is an abundant number, since it is smaller than the sum of its proper divisors (614706362832).

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

350946117168 is a wasteful number, since it uses less digits than its factorization.

350946117168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 350946117168 in words is "three hundred fifty billion, nine hundred forty-six million, one hundred seventeen thousand, one hundred sixty-eight".