9856083456 has 320 divisors, whose sum is σ = 30536140800. Its totient is φ = 3135283200.

The previous prime is 9856083451. The next prime is 9856083469. The reversal of 9856083456 is 6543806589.

It is a happy number.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 9856083456 = 88³ + 2144³ = 480³ + 2136³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9856083451) 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, 46711191 + ... + 46711401.

It is an arithmetic number, because the mean of its divisors is an integer number (95425440).

Almost surely, 2^9856083456 is an apocalyptic number.

9856083456 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 9856083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268070400).

9856083456 is an abundant number, since it is smaller than the sum of its proper divisors (20680057344).

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

9856083456 is a wasteful number, since it uses less digits than its factorization.

9856083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 9856083456 is about 99277.8094842951. The cubic root of 9856083456 is about 2144.0494159547.

The spelling of 9856083456 in words is "nine billion, eight hundred fifty-six million, eighty-three thousand, four hundred fifty-six".