9658242642528 has 144 divisors (see below), whose sum is σ = 28488149516736. Its totient is φ = 3218817813120.

The previous prime is 9658242642467. The next prime is 9658242642541. The reversal of 9658242642528 is 8252462428569.

It is a happy number.

9658242642528 is a `hidden beast` number, since 9 + 6 + 5 + 8 + 2 + 42 + 64 + 2 + 528 = 666.

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

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 42896775 + ... + 43121337.

It is an arithmetic number, because the mean of its divisors is an integer number (197834371644).

Almost surely, 2^{9658242642528} 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 9658242642528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244074758368).

9658242642528 is an abundant number, since it is smaller than the sum of its proper divisors (18829906874208).

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

9658242642528 is a wasteful number, since it uses less digits than its factorization.

9658242642528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230119 (or 230099 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 9658242642528 in words is "nine trillion, six hundred fifty-eight billion, two hundred forty-two million, six hundred forty-two thousand, five hundred twenty-eight".