33661164336 has 80 divisors (see below), whose sum is σ = 87445400160. Its totient is φ = 11157626880.

The previous prime is 33661164311. The next prime is 33661164349. The reversal of 33661164336 is 63346116633.

It is a super-2 number, since 2×33661164336² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12980256 + ... + 12982848.

It is an arithmetic number, because the mean of its divisors is an integer number (1093067502).

Almost surely, 2^33661164336 is an apocalyptic number.

It is an amenable number.

33661164336 is an abundant number, since it is smaller than the sum of its proper divisors (53784235824).

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

33661164336 is a wasteful number, since it uses less digits than its factorization.

33661164336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4008 counting only the distinct ones).

The product of its digits is 419904, while the sum is 42.

The spelling of 33661164336 in words is "thirty-three billion, six hundred sixty-one million, one hundred sixty-four thousand, three hundred thirty-six".