9409130615808 has 2970 divisors, whose sum is σ = 38632111434378. Its totient is φ = 2271617187840.

The previous prime is 9409130615803. The next prime is 9409130615831. The reversal of 9409130615808 is 8085160319049.

9409130615808 is a `hidden beast` number, since 9 + 4 + 0 + 9 + 13 + 0 + 615 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8699007550464 + 710123065344 = 2949408^2 + 842688^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9409130615803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 177530766310 + ... + 177530766362.

Almost surely, 2^{9409130615808} is an apocalyptic number.

9409130615808 is a gapful number since it is divisible by the number (98) 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 9409130615808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19316055717189).

9409130615808 is an abundant number, since it is smaller than the sum of its proper divisors (29222980818570).

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

9409130615808 is a wasteful number, since it uses less digits than its factorization.

9409130615808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 9409130615808 in words is "nine trillion, four hundred nine billion, one hundred thirty million, six hundred fifteen thousand, eight hundred eight".