9405199681605 has 192 divisors, whose sum is σ = 20820945600000. Its totient is φ = 3901515061248.

The previous prime is 9405199681567. The next prime is 9405199681607. The reversal of 9405199681605 is 5061869915049.

9405199681605 is a `hidden beast` number, since 9 + 4 + 0 + 5 + 19 + 9 + 6 + 8 + 1 + 605 = 666.

It is not a de Polignac number, because 9405199681605 - 2²³ = 9405191292997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9405199681607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11441421 + ... + 12235869.

It is an arithmetic number, because the mean of its divisors is an integer number (108442425000).

Almost surely, 2^{9405199681605} is an apocalyptic number.

It is an amenable number.

9405199681605 is an abundant number, since it is smaller than the sum of its proper divisors (11415745918395).

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

9405199681605 is a wasteful number, since it uses less digits than its factorization.

9405199681605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794553 (or 794536 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 9405199681605 in words is "nine trillion, four hundred five billion, one hundred ninety-nine million, six hundred eighty-one thousand, six hundred five".