9106644577536 has 432 divisors, whose sum is σ = 28860912505152. Its totient is φ = 2738719948800.

The previous prime is 9106644577523. The next prime is 9106644577553. The reversal of 9106644577536 is 6357754466019.

It is a happy number.

9106644577536 is a `hidden beast` number, since 9 + 1 + 0 + 6 + 6 + 4 + 4 + 577 + 53 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2994620176 + ... + 2994623216.

It is an arithmetic number, because the mean of its divisors is an integer number (66807667836).

Almost surely, 2^{9106644577536} is an apocalyptic number.

9106644577536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9106644577536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14430456252576).

9106644577536 is an abundant number, since it is smaller than the sum of its proper divisors (19754267927616).

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

9106644577536 is a wasteful number, since it uses less digits than its factorization.

9106644577536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 9106644577536 in words is "nine trillion, one hundred six billion, six hundred forty-four million, five hundred seventy-seven thousand, five hundred thirty-six".