348864083568 has 640 divisors, whose sum is σ = 1358519715840. Its totient is φ = 82771476480.

The previous prime is 348864083539. The next prime is 348864083597. The reversal of 348864083568 is 865380468843.

348864083568 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 64 + 0 + 8 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (348864083539) and next prime (348864083597).

It is a super-3 number, since 3×348864083568³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 41941746 + ... + 41950062.

It is an arithmetic number, because the mean of its divisors is an integer number (2122687056).

Almost surely, 2^348864083568 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 348864083568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679259857920).

348864083568 is an abundant number, since it is smaller than the sum of its proper divisors (1009655632272).

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

348864083568 is a wasteful number, since it uses less digits than its factorization.

348864083568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 348864083568 in words is "three hundred forty-eight billion, eight hundred sixty-four million, eighty-three thousand, five hundred sixty-eight".