9429838656 has 224 divisors, whose sum is σ = 29101621248. Its totient is φ = 2639278080.

The previous prime is 9429838637. The next prime is 9429838657. The reversal of 9429838656 is 6568389249.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 9429838656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9429838657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21878761 + ... + 21879191.

It is an arithmetic number, because the mean of its divisors is an integer number (129917952).

Almost surely, 2^9429838656 is an apocalyptic number.

9429838656 is a gapful number since it is divisible by the number (96) 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 9429838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550810624).

9429838656 is an abundant number, since it is smaller than the sum of its proper divisors (19671782592).

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

9429838656 is a wasteful number, since it uses less digits than its factorization.

9429838656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 739 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The square root of 9429838656 is about 97107.3563433791. The cubic root of 9429838656 is about 2112.6850251487.

The spelling of 9429838656 in words is "nine billion, four hundred twenty-nine million, eight hundred thirty-eight thousand, six hundred fifty-six".