348376651997616 has 240 divisors, whose sum is σ = 1070606062674720. Its totient is φ = 104875938938880.

The previous prime is 348376651997603. The next prime is 348376651997623. The reversal of 348376651997616 is 616799156673843.

348376651997616 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 7 + 6 + 6 + 519 + 97 + 6 + 1 + 6 = 666.

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, 150696670 + ... + 152990978.

It is an arithmetic number, because the mean of its divisors is an integer number (4460858594478).

Almost surely, 2^{348376651997616} is an apocalyptic number.

348376651997616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348376651997616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535303031337360).

348376651997616 is an abundant number, since it is smaller than the sum of its proper divisors (722229410677104).

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

348376651997616 is a wasteful number, since it uses less digits than its factorization.

348376651997616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294964 (or 2294955 counting only the distinct ones).

The product of its digits is 7407106560, while the sum is 81.

The spelling of 348376651997616 in words is "three hundred forty-eight trillion, three hundred seventy-six billion, six hundred fifty-one million, nine hundred ninety-seven thousand, six hundred sixteen".