348645156768 has 192 divisors, whose sum is σ = 1029390768000. Its totient is φ = 114788247552.

The previous prime is 348645156751. The next prime is 348645156787. The reversal of 348645156768 is 867651546843.

348645156768 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 4 + 5 + 1 + 567 + 68 = 666.

348645156768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 100501338 + ... + 100504806.

It is an arithmetic number, because the mean of its divisors is an integer number (5361410250).

Almost surely, 2^348645156768 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 348645156768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514695384000).

348645156768 is an abundant number, since it is smaller than the sum of its proper divisors (680745611232).

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

348645156768 is a wasteful number, since it uses less digits than its factorization.

348645156768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884 (or 4870 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 348645156768 in words is "three hundred forty-eight billion, six hundred forty-five million, one hundred fifty-six thousand, seven hundred sixty-eight".