9056685735405 has 640 divisors, whose sum is σ = 21196505088000. Its totient is φ = 3590151206400.

The previous prime is 9056685735403. The next prime is 9056685735407. The reversal of 9056685735405 is 5045375866509.

It is a happy number.

9056685735405 is a `hidden beast` number, since 9 + 0 + 5 + 6 + 6 + 8 + 573 + 54 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (9056685735403) and next prime (9056685735407).

It is not a de Polignac number, because 9056685735405 - 2¹ = 9056685735403 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 (9056685735403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 34436067304 + ... + 34436067566.

It is an arithmetic number, because the mean of its divisors is an integer number (33119539200).

Almost surely, 2^{9056685735405} is an apocalyptic number.

It is an amenable number.

9056685735405 is an abundant number, since it is smaller than the sum of its proper divisors (12139819352595).

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

9056685735405 is a wasteful number, since it uses less digits than its factorization.

9056685735405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 9056685735405 in words is "nine trillion, fifty-six billion, six hundred eighty-five million, seven hundred thirty-five thousand, four hundred five".