348463997568 has 128 divisors (see below), whose sum is σ = 1034763969600. Its totient is φ = 115441873920.

The previous prime is 348463997561. The next prime is 348463997729. The reversal of 348463997568 is 865799364843.

348463997568 is a `hidden beast` number, since 3 + 4 + 8 + 463 + 99 + 75 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×348463997568² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 348463997496 and 348463997505.

It is not an unprimeable number, because it can be changed into a prime (348463997561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254038 + ... + 872618.

Almost surely, 2^348463997568 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 348463997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517381984800).

348463997568 is an abundant number, since it is smaller than the sum of its proper divisors (686299972032).

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

348463997568 is a wasteful number, since it uses less digits than its factorization.

348463997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618767 (or 618749 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 348463997568 in words is "three hundred forty-eight billion, four hundred sixty-three million, nine hundred ninety-seven thousand, five hundred sixty-eight".