6348801835008 has 380 divisors, whose sum is σ = 19483048081332. Its totient is φ = 2058816061440.

The previous prime is 6348801834989. The next prime is 6348801835021. The reversal of 6348801835008 is 8005381088436.

6348801835008 is a `hidden beast` number, since 6 + 3 + 48 + 80 + 18 + 3 + 500 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4092172959744 + 2256628875264 = 2022912^2 + 1502208^2 .

It is a super-3 number, since 3×6348801835008³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 785641528 + ... + 785649608.

Almost surely, 2^{6348801835008} 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 6348801835008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9741524040666).

6348801835008 is an abundant number, since it is smaller than the sum of its proper divisors (13134246246324).

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

6348801835008 is an frugal number, since it uses more digits than its factorization.

6348801835008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 6348801835008 in words is "six trillion, three hundred forty-eight billion, eight hundred one million, eight hundred thirty-five thousand, eight".