9385409345 has 32 divisors (see below), whose sum is σ = 12671557920. Its totient is φ = 6625382400.

The previous prime is 9385409311. The next prime is 9385409353. The reversal of 9385409345 is 5439045839.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3589327921 + 5796081424 = 59911^2 + 76132^2 .

It is not a de Polignac number, because 9385409345 - 2²⁴ = 9368632129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9385409293 and 9385409302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165737 + ... + 215033.

It is an arithmetic number, because the mean of its divisors is an integer number (395986185).

Almost surely, 2^9385409345 is an apocalyptic number.

It is an amenable number.

9385409345 is a deficient number, since it is larger than the sum of its proper divisors (3286148575).

9385409345 is a wasteful number, since it uses less digits than its factorization.

9385409345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49445.

The product of its (nonzero) digits is 2332800, while the sum is 50.

The square root of 9385409345 is about 96878.3223688354. The cubic root of 9385409345 is about 2109.3617818489.

The spelling of 9385409345 in words is "nine billion, three hundred eighty-five million, four hundred nine thousand, three hundred forty-five".