350957824077168 has 1120 divisors, whose sum is σ = 1284482432862720. Its totient is φ = 90201022709760.

The previous prime is 350957824077167. The next prime is 350957824077173. The reversal of 350957824077168 is 861770428759053.

350957824077168 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 57 + 8 + 2 + 407 + 7 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 350957824077096 and 350957824077105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350957824077163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 34109998168 + ... + 34110008456.

It is an arithmetic number, because the mean of its divisors is an integer number (1146859315056).

It is a 1-persistent number, because it is pandigital, but 2⋅350957824077168 = 701915648154336 is not.

Almost surely, 2^{350957824077168} 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 350957824077168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642241216431360).

350957824077168 is an abundant number, since it is smaller than the sum of its proper divisors (933524608785552).

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

350957824077168 is a wasteful number, since it uses less digits than its factorization.

350957824077168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 350957824077168 in words is "three hundred fifty trillion, nine hundred fifty-seven billion, eight hundred twenty-four million, seventy-seven thousand, one hundred sixty-eight".