9245972096 has 128 divisors (see below), whose sum is σ = 19530450000. Its totient is φ = 4353785856.

The previous prime is 9245972077. The next prime is 9245972119. The reversal of 9245972096 is 6902795429.

It can be written as a sum of positive squares in 8 ways, for example, as 5434638400 + 3811333696 = 73720^2 + 61736^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40375310 + ... + 40375538.

Almost surely, 2^9245972096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9245972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765225000).

9245972096 is an abundant number, since it is smaller than the sum of its proper divisors (10284477904).

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

9245972096 is a wasteful number, since it uses less digits than its factorization.

9245972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The square root of 9245972096 is about 96155.9779524913. The cubic root of 9245972096 is about 2098.8634890422.

The spelling of 9245972096 in words is "nine billion, two hundred forty-five million, nine hundred seventy-two thousand, ninety-six".