33985585665 has 128 divisors (see below), whose sum is σ = 65930035200. Its totient is φ = 16547016960.

The previous prime is 33985585661. The next prime is 33985585687. The reversal of 33985585665 is 56658558933.

It is not a de Polignac number, because 33985585665 - 2² = 33985585661 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33985585661) 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 127 ways as a sum of consecutive naturals, for example, 22024884 + ... + 22026426.

It is an arithmetic number, because the mean of its divisors is an integer number (515078400).

Almost surely, 2^33985585665 is an apocalyptic number.

It is an amenable number.

33985585665 is a deficient number, since it is larger than the sum of its proper divisors (31944449535).

33985585665 is a wasteful number, since it uses less digits than its factorization.

33985585665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1878 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 63.

The spelling of 33985585665 in words is "thirty-three billion, nine hundred eighty-five million, five hundred eighty-five thousand, six hundred sixty-five".