9519745248 has 144 divisors (see below), whose sum is σ = 29385248256. Its totient is φ = 2905943040.

The previous prime is 9519745231. The next prime is 9519745253. The reversal of 9519745248 is 8425479159.

It is a happy number.

9519745248 is a `hidden beast` number, since 9 + 519 + 74 + 52 + 4 + 8 = 666.

9519745248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 9519745194 and 9519745203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465478 + ... + 485498.

It is an arithmetic number, because the mean of its divisors is an integer number (204064224).

Almost surely, 2^9519745248 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 9519745248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692624128).

9519745248 is an abundant number, since it is smaller than the sum of its proper divisors (19865503008).

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

9519745248 is a wasteful number, since it uses less digits than its factorization.

9519745248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20177 (or 20166 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 9519745248 is about 97569.1818557479. The cubic root of 9519745248 is about 2119.3780992972.

The spelling of 9519745248 in words is "nine billion, five hundred nineteen million, seven hundred forty-five thousand, two hundred forty-eight".