33898560129009 has 9 divisors (see below), whose sum is σ = 48964612082763. Its totient is φ = 22599028441512.

The previous prime is 33898560128963. The next prime is 33898560129011. The reversal of 33898560129009 is 90092106589833.

The square root of 33898560129009 is 5822247.

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

33898560129009 is a `hidden beast` number, since 338 + 9 + 8 + 5 + 6 + 0 + 1 + 290 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33296973744609 + 601586384400 = 5770353^2 + 775620^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 33898560129009 - 2²¹ = 33898558031857 is a prime.

It is a super-2 number, since 2×33898560129009² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33898560129409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16496367 + ... + 18437115.

Almost surely, 2^{33898560129009} is an apocalyptic number.

33898560129009 is the 5822247-th square number.

33898560129009 is the 2911124-th centered octagonal number.

It is an amenable number.

33898560129009 is a deficient number, since it is larger than the sum of its proper divisors (15066051953754).

33898560129009 is an frugal number, since it uses more digits than its factorization.

33898560129009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881504 (or 1940752 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 33898560129009 in words is "thirty-three trillion, eight hundred ninety-eight billion, five hundred sixty million, one hundred twenty-nine thousand, nine".