9407445928336 has 135 divisors (see below), whose sum is σ = 19114947561801. Its totient is φ = 4485016338432.

The previous prime is 9407445928313. The next prime is 9407445928351. The reversal of 9407445928336 is 6338295447049.

The square root of 9407445928336 is 3067156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6170037409936 + 3237408518400 = 2483956^2 + 1799280^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 48743243056 + ... + 48743243248.

Almost surely, 2^{9407445928336} is an apocalyptic number.

9407445928336 is the 3067156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9407445928336

9407445928336 is an abundant number, since it is smaller than the sum of its proper divisors (9707501633465).

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

9407445928336 is an equidigital number, since it uses as much as digits as its factorization.

9407445928336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 64.

Multiplying 9407445928336 by its sum of digits (64), we get a square (602076539413504 = 24537248²).

The spelling of 9407445928336 in words is "nine trillion, four hundred seven billion, four hundred forty-five million, nine hundred twenty-eight thousand, three hundred thirty-six".