9414339872256 has 2240 divisors, whose sum is σ = 35551453132800. Its totient is φ = 2450895667200.

The previous prime is 9414339872233. The next prime is 9414339872293. The reversal of 9414339872256 is 6522789334149.

9414339872256 is a `hidden beast` number, since 9 + 4 + 14 + 3 + 398 + 7 + 225 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9414339872193 and 9414339872202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41110654350 + ... + 41110654578.

Almost surely, 2^{9414339872256} is an apocalyptic number.

9414339872256 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 9414339872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17775726566400).

9414339872256 is an abundant number, since it is smaller than the sum of its proper divisors (26137113260544).

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

9414339872256 is a wasteful number, since it uses less digits than its factorization.

9414339872256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 312 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 9414339872256 in words is "nine trillion, four hundred fourteen billion, three hundred thirty-nine million, eight hundred seventy-two thousand, two hundred fifty-six".