9205648416 has 72 divisors (see below), whose sum is σ = 26323344684. Its totient is φ = 3051578880.

The previous prime is 9205648399. The next prime is 9205648453. The reversal of 9205648416 is 6148465029.

9205648416 is a `hidden beast` number, since 9 + 2 + 0 + 564 + 84 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8280272016 + 925376400 = 90996^2 + 30420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36171 + ... + 140426.

Almost surely, 2^9205648416 is an apocalyptic number.

9205648416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9205648416 is an abundant number, since it is smaller than the sum of its proper divisors (17117696268).

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

9205648416 is a wasteful number, since it uses less digits than its factorization.

9205648416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176794 (or 176783 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9205648416 is about 95946.0703520472. The cubic root of 9205648416 is about 2095.8078437170.

The spelling of 9205648416 in words is "nine billion, two hundred five million, six hundred forty-eight thousand, four hundred sixteen".