9130679065656 has 256 divisors, whose sum is σ = 28677141504000. Its totient is φ = 2676531271680.

The previous prime is 9130679065643. The next prime is 9130679065663. The reversal of 9130679065656 is 6565609760319.

9130679065656 is a `hidden beast` number, since 9 + 1 + 3 + 0 + 67 + 9 + 0 + 6 + 565 + 6 = 666.

9130679065656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9130679065593 and 9130679065602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1918165 + ... + 4684091.

It is an arithmetic number, because the mean of its divisors is an integer number (112020084000).

Almost surely, 2^{9130679065656} 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 9130679065656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14338570752000).

9130679065656 is an abundant number, since it is smaller than the sum of its proper divisors (19546462438344).

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

9130679065656 is a wasteful number, since it uses less digits than its factorization.

9130679065656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766019 (or 2766009 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 9130679065656 in words is "nine trillion, one hundred thirty billion, six hundred seventy-nine million, sixty-five thousand, six hundred fifty-six".