9645813144 has 216 divisors, whose sum is σ = 30315628980. Its totient is φ = 2768230080.

The previous prime is 9645813143. The next prime is 9645813157. The reversal of 9645813144 is 4413185469.

9645813144 is a `hidden beast` number, since 9 + 64 + 581 + 3 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×9645813144² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9645813144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9645813143) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3143499 + ... + 3146565.

Almost surely, 2^9645813144 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 9645813144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15157814490).

9645813144 is an abundant number, since it is smaller than the sum of its proper divisors (20669815836).

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

9645813144 is a wasteful number, since it uses less digits than its factorization.

9645813144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3102 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 9645813144 is about 98213.1006739936. The cubic root of 9645813144 is about 2128.6925891880.

The spelling of 9645813144 in words is "nine billion, six hundred forty-five million, eight hundred thirteen thousand, one hundred forty-four".