6348815046 has 72 divisors (see below), whose sum is σ = 16422504840. Its totient is φ = 1812776112.

The previous prime is 6348815029. The next prime is 6348815113. The reversal of 6348815046 is 6405188436.

6348815046 is a `hidden beast` number, since 63 + 4 + 8 + 81 + 504 + 6 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6348814992 and 6348815010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4097880 + ... + 4099428.

It is an arithmetic number, because the mean of its divisors is an integer number (228090345).

Almost surely, 2^6348815046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6348815046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211252420).

6348815046 is an abundant number, since it is smaller than the sum of its proper divisors (10073689794).

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

6348815046 is an equidigital number, since it uses as much as digits as its factorization.

6348815046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6348815046 is about 79679.4518429940. The cubic root of 6348815046 is about 1851.6727063761.

The spelling of 6348815046 in words is "six billion, three hundred forty-eight million, eight hundred fifteen thousand, forty-six".