348768903168 has 616 divisors, whose sum is σ = 1207308093888. Its totient is φ = 98680799232.

The previous prime is 348768903163. The next prime is 348768903181. The reversal of 348768903168 is 861309867843.

348768903168 is a `hidden beast` number, since 3 + 487 + 6 + 8 + 90 + 3 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (348768903163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 3386105805 + ... + 3386105907.

Almost surely, 2^348768903168 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 348768903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603654046944).

348768903168 is an abundant number, since it is smaller than the sum of its proper divisors (858539190720).

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

348768903168 is an frugal number, since it uses more digits than its factorization.

348768903168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 348768903168 in words is "three hundred forty-eight billion, seven hundred sixty-eight million, nine hundred three thousand, one hundred sixty-eight".