9725103648 has 270 divisors, whose sum is σ = 31179846159. Its totient is φ = 2972256768.

The previous prime is 9725103541. The next prime is 9725103649. The reversal of 9725103648 is 8463015279.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9725103648 is a `hidden beast` number, since 9 + 72 + 510 + 3 + 64 + 8 = 666.

9725103648 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 16548624 + 9708555024 = 4068^2 + 98532^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=69732.

9725103648 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (9725103649) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 65269078 + ... + 65269226.

It is a 1-persistent number, because it is pandigital, but 2⋅9725103648 = 19450207296 is not.

Almost surely, 2^9725103648 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 9725103648

9725103648 is an abundant number, since it is smaller than the sum of its proper divisors (21454742511).

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

9725103648 is a wasteful number, since it uses less digits than its factorization.

9725103648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9725103648 is about 98615.9401314007. The cubic root of 9725103648 is about 2134.5094385608.

The spelling of 9725103648 in words is "nine billion, seven hundred twenty-five million, one hundred three thousand, six hundred forty-eight".