348873410816 has 288 divisors, whose sum is σ = 859555307520. Its totient is φ = 137991168000.

The previous prime is 348873410813. The next prime is 348873410819. The reversal of 348873410816 is 618014378843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (348873410813) and next prime (348873410819).

It is not an unprimeable number, because it can be changed into a prime (348873410813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497679266 + ... + 497679966.

It is an arithmetic number, because the mean of its divisors is an integer number (2984567040).

Almost surely, 2^348873410816 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 348873410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429777653760).

348873410816 is an abundant number, since it is smaller than the sum of its proper divisors (510681896704).

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

348873410816 is a wasteful number, since it uses less digits than its factorization.

348873410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 348873410816 in words is "three hundred forty-eight billion, eight hundred seventy-three million, four hundred ten thousand, eight hundred sixteen".