348068786193408 has 528 divisors, whose sum is σ = 1087796778704064. Its totient is φ = 98658211921920.

The previous prime is 348068786193379. The next prime is 348068786193409. The reversal of 348068786193408 is 804391687860843.

It is a self number, because there is not a number n which added to its sum of digits gives 348068786193408.

It is not an unprimeable number, because it can be changed into a prime (348068786193409) 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, 12161293338 + ... + 12161321958.

It is an arithmetic number, because the mean of its divisors is an integer number (2060221171788).

Almost surely, 2^{348068786193408} 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 348068786193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543898389352032).

348068786193408 is an abundant number, since it is smaller than the sum of its proper divisors (739727992510656).

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

348068786193408 is a wasteful number, since it uses less digits than its factorization.

348068786193408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29298 (or 29273 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 75.

The spelling of 348068786193408 in words is "three hundred forty-eight trillion, sixty-eight billion, seven hundred eighty-six million, one hundred ninety-three thousand, four hundred eight".