33366253980609 has 99 divisors (see below), whose sum is σ = 55038114205347. Its totient is φ = 20212614417600.

The previous prime is 33366253980421. The next prime is 33366253980611. The reversal of 33366253980609 is 90608935266333.

The square root of 33366253980609 is 5776353.

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

33366253980609 is a `hidden beast` number, since 3 + 3 + 36 + 6 + 2 + 539 + 8 + 0 + 60 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20916929691009 + 12449324289600 = 4573503^2 + 3528360^2 .

It is a tau number, because it is divible by the number of its divisors (99).

It is not a de Polignac number, because 33366253980609 - 2⁴³ = 24570160958401 is a prime.

It is a super-2 number, since 2×33366253980609² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33366253980679) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 15440190489 + ... + 15440192649.

Almost surely, 2^{33366253980609} is an apocalyptic number.

33366253980609 is the 5776353-rd square number.

33366253980609 is the 2888177-th centered octagonal number.

It is an amenable number.

33366253980609 is a deficient number, since it is larger than the sum of its proper divisors (21671860224738).

33366253980609 is an frugal number, since it uses more digits than its factorization.

33366253980609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 63.

The spelling of 33366253980609 in words is "thirty-three trillion, three hundred sixty-six billion, two hundred fifty-three million, nine hundred eighty thousand, six hundred nine".