4305389682048 has 384 divisors, whose sum is σ = 14411568780000. Its totient is φ = 1135476486144.

The previous prime is 4305389682023. The next prime is 4305389682071. The reversal of 4305389682048 is 8402869835034.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4305389681982 and 4305389682000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41286678 + ... + 41390826.

Almost surely, 2^{4305389682048} is an apocalyptic number.

4305389682048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4305389682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205784390000).

4305389682048 is an abundant number, since it is smaller than the sum of its proper divisors (10106179097952).

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

4305389682048 is a wasteful number, since it uses less digits than its factorization.

4305389682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104219 (or 104174 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 4305389682048 in words is "four trillion, three hundred five billion, three hundred eighty-nine million, six hundred eighty-two thousand, forty-eight".