6008794429248 has 896 divisors, whose sum is σ = 19872671293440. Its totient is φ = 1768601640960.

The previous prime is 6008794429223. The next prime is 6008794429291. The reversal of 6008794429248 is 8429244978006.

6008794429248 is a `hidden beast` number, since 6 + 0 + 0 + 87 + 94 + 429 + 2 + 48 = 666.

It is a super-2 number, since 2×6008794429248² (a number of 26 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 12237870283 + ... + 12237870773.

It is an arithmetic number, because the mean of its divisors is an integer number (22179320640).

Almost surely, 2^{6008794429248} 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 6008794429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936335646720).

6008794429248 is an abundant number, since it is smaller than the sum of its proper divisors (13863876864192).

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

6008794429248 is a wasteful number, since it uses less digits than its factorization.

6008794429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 6008794429248 in words is "six trillion, eight billion, seven hundred ninety-four million, four hundred twenty-nine thousand, two hundred forty-eight".