346955203767168 has 384 divisors, whose sum is σ = 1094987615155200. Its totient is φ = 105039491973120.

The previous prime is 346955203767167. The next prime is 346955203767181. The reversal of 346955203767168 is 861767302559643.

It is a happy number.

346955203767168 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 5 + 520 + 37 + 6 + 7 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×346955203767168² (a number of 30 digits) contains 22 as substring.

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 = 346955203767096 and 346955203767105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346955203767167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70213080 + ... + 74991912.

It is an arithmetic number, because the mean of its divisors is an integer number (2851530247800).

It is a 1-persistent number, because it is pandigital, but 2⋅346955203767168 = 693910407534336 is not.

Almost surely, 2^{346955203767168} is an apocalyptic number.

346955203767168 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 346955203767168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547493807577600).

346955203767168 is an abundant number, since it is smaller than the sum of its proper divisors (748032411388032).

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

346955203767168 is a wasteful number, since it uses less digits than its factorization.

346955203767168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779010 (or 4778995 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 346955203767168 in words is "three hundred forty-six trillion, nine hundred fifty-five billion, two hundred three million, seven hundred sixty-seven thousand, one hundred sixty-eight".