9646122438864 has 200 divisors, whose sum is σ = 29564008083720. Its totient is φ = 3025921646592.

The previous prime is 9646122438839. The next prime is 9646122438899. The reversal of 9646122438864 is 4688342216469.

It is a happy number.

9646122438864 is a `hidden beast` number, since 9 + 6 + 4 + 612 + 2 + 4 + 3 + 8 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4508012211264 + 5138110227600 = 2123208^2 + 2266740^2 .

It is a super-2 number, since 2×9646122438864² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308630662 + ... + 308661914.

Almost surely, 2^{9646122438864} 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 9646122438864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782004041860).

9646122438864 is an abundant number, since it is smaller than the sum of its proper divisors (19917885644856).

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

9646122438864 is a wasteful number, since it uses less digits than its factorization.

9646122438864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45299 (or 45284 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 9646122438864 in words is "nine trillion, six hundred forty-six billion, one hundred twenty-two million, four hundred thirty-eight thousand, eight hundred sixty-four".