9645859012608 has 936 divisors, whose sum is σ = 35762044657248. Its totient is φ = 2543962816512.

The previous prime is 9645859012507. The next prime is 9645859012639. The reversal of 9645859012608 is 8062109585469.

9645859012608 is a `hidden beast` number, since 9 + 6 + 4 + 5 + 8 + 5 + 9 + 0 + 12 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×9645859012608² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 741989154810 + ... + 741989154822.

It is an arithmetic number, because the mean of its divisors is an integer number (38207312668).

Almost surely, 2^{9645859012608} 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 9645859012608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881022328624).

9645859012608 is an abundant number, since it is smaller than the sum of its proper divisors (26116185644640).

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

9645859012608 is an frugal number, since it uses more digits than its factorization.

9645859012608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 9645859012608 in words is "nine trillion, six hundred forty-five billion, eight hundred fifty-nine million, twelve thousand, six hundred eight".