348558086688 has 768 divisors, whose sum is σ = 1196814237696. Its totient is φ = 86533816320.

The previous prime is 348558086677. The next prime is 348558086713. The reversal of 348558086688 is 886680855843.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 715724781 + ... + 715725267.

It is an arithmetic number, because the mean of its divisors is an integer number (1558351872).

Almost surely, 2^348558086688 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 348558086688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598407118848).

348558086688 is an abundant number, since it is smaller than the sum of its proper divisors (848256151008).

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

348558086688 is a wasteful number, since it uses less digits than its factorization.

348558086688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 69.

The spelling of 348558086688 in words is "three hundred forty-eight billion, five hundred fifty-eight million, eighty-six thousand, six hundred eighty-eight".