348688614849344 has 336 divisors, whose sum is σ = 872684406316800. Its totient is φ = 135309199196160.

The previous prime is 348688614849317. The next prime is 348688614849359. The reversal of 348688614849344 is 443948416886843.

It is a super-2 number, since 2×348688614849344² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14111793662 + ... + 14111818370.

It is an arithmetic number, because the mean of its divisors is an integer number (2597275018800).

Almost surely, 2^{348688614849344} 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 348688614849344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436342203158400).

348688614849344 is an abundant number, since it is smaller than the sum of its proper divisors (523995791467456).

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

348688614849344 is a wasteful number, since it uses less digits than its factorization.

348688614849344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25782 (or 25761 counting only the distinct ones).

The product of its digits is 12230590464, while the sum is 80.

The spelling of 348688614849344 in words is "three hundred forty-eight trillion, six hundred eighty-eight billion, six hundred fourteen million, eight hundred forty-nine thousand, three hundred forty-four".