9345563136 has 1280 divisors, whose sum is σ = 39597465600. Its totient is φ = 2102132736.

The previous prime is 9345563131. The next prime is 9345563137. The reversal of 9345563136 is 6313655439.

9345563136 is a `hidden beast` number, since 9 + 3 + 4 + 5 + 5 + 631 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9345563091 and 9345563100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9345563131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 406328821 + ... + 406328843.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 2^9345563136 is an apocalyptic number.

9345563136 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 9345563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19798732800).

9345563136 is an abundant number, since it is smaller than the sum of its proper divisors (30251902464).

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

9345563136 is a wasteful number, since it uses less digits than its factorization.

9345563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The square root of 9345563136 is about 96672.4528291281. The cubic root of 9345563136 is about 2106.3724148829.

The spelling of 9345563136 in words is "nine billion, three hundred forty-five million, five hundred sixty-three thousand, one hundred thirty-six".