9685443456 has 384 divisors, whose sum is σ = 32980802400. Its totient is φ = 2802843648.

The previous prime is 9685443437. The next prime is 9685443499. The reversal of 9685443456 is 6543445869.

9685443456 is a `hidden beast` number, since 9 + 68 + 544 + 34 + 5 + 6 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6873280 + ... + 6874688.

Almost surely, 2^9685443456 is an apocalyptic number.

9685443456 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 9685443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490401200).

9685443456 is an abundant number, since it is smaller than the sum of its proper divisors (23295358944).

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

9685443456 is a wasteful number, since it uses less digits than its factorization.

9685443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1444 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 9685443456 is about 98414.6506166638. The cubic root of 9685443456 is about 2131.6038862007.

The spelling of 9685443456 in words is "nine billion, six hundred eighty-five million, four hundred forty-three thousand, four hundred fifty-six".