348966958672848 has 640 divisors, whose sum is σ = 966557164953600. Its totient is φ = 108323542204416.

The previous prime is 348966958672817. The next prime is 348966958672861. The reversal of 348966958672848 is 848276859669843.

It is a super-3 number, since 3×348966958672848³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 379724655333 + ... + 379724656251.

It is an arithmetic number, because the mean of its divisors is an integer number (1510245570240).

Almost surely, 2^{348966958672848} 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 348966958672848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483278582476800).

348966958672848 is an abundant number, since it is smaller than the sum of its proper divisors (617590206280752).

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

348966958672848 is a wasteful number, since it uses less digits than its factorization.

348966958672848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1533 counting only the distinct ones).

The product of its digits is 240789749760, while the sum is 93.

The spelling of 348966958672848 in words is "three hundred forty-eight trillion, nine hundred sixty-six billion, nine hundred fifty-eight million, six hundred seventy-two thousand, eight hundred forty-eight".