9645838356 has 288 divisors, whose sum is σ = 29932277760. Its totient is φ = 2387750400.

The previous prime is 9645838339. The next prime is 9645838361. The reversal of 9645838356 is 6538385469.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9645838296 and 9645838305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14636755 + ... + 14637413.

It is an arithmetic number, because the mean of its divisors is an integer number (103931520).

Almost surely, 2^9645838356 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 9645838356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966138880).

9645838356 is an abundant number, since it is smaller than the sum of its proper divisors (20286439404).

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

9645838356 is a wasteful number, since it uses less digits than its factorization.

9645838356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 57.

The square root of 9645838356 is about 98213.2290274584. The cubic root of 9645838356 is about 2128.6944438286.

The spelling of 9645838356 in words is "nine billion, six hundred forty-five million, eight hundred thirty-eight thousand, three hundred fifty-six".