33564607489009 has 27 divisors (see below), whose sum is σ = 35652014406603. Its totient is φ = 31597732638000.

The previous prime is 33564607488943. The next prime is 33564607489019. The reversal of 33564607489009 is 90098470646533.

The square root of 33564607489009 is 5793497.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30034071712225 + 3530535776784 = 5480335^2 + 1878972^2 .

It is not a de Polignac number, because 33564607489009 - 2¹⁷ = 33564607357937 is a prime.

It is a super-2 number, since 2×33564607489009² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33564607489019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6645138534 + ... + 6645143584.

Almost surely, 2^{33564607489009} is an apocalyptic number.

33564607489009 is the 5793497-th square number.

33564607489009 is the 2896749-th centered octagonal number.

It is an amenable number.

33564607489009 is a deficient number, since it is larger than the sum of its proper divisors (2087406917594).

33564607489009 is an frugal number, since it uses more digits than its factorization.

33564607489009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10238 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 64.

The spelling of 33564607489009 in words is "thirty-three trillion, five hundred sixty-four billion, six hundred seven million, four hundred eighty-nine thousand, nine".