348808396014 has 384 divisors, whose sum is σ = 922991448960. Its totient is φ = 98403102720.

The previous prime is 348808396007. The next prime is 348808396049. The reversal of 348808396014 is 410693808843.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 515226244 + ... + 515226920.

It is an arithmetic number, because the mean of its divisors is an integer number (2403623565).

Almost surely, 2^348808396014 is an apocalyptic number.

348808396014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 348808396014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461495724480).

348808396014 is an abundant number, since it is smaller than the sum of its proper divisors (574183052946).

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

348808396014 is a wasteful number, since it uses less digits than its factorization.

348808396014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 348808396014 in words is "three hundred forty-eight billion, eight hundred eight million, three hundred ninety-six thousand, fourteen".