33072218214025 has 81 divisors (see below), whose sum is σ = 45137125130461. Its totient is φ = 24032459207680.

The previous prime is 33072218214023. The next prime is 33072218214041. The reversal of 33072218214025 is 52041281227033.

It is a happy number.

The square root of 33072218214025 is 5750845.

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

It can be written as a sum of positive squares in 40 ways, for example, as 33062074501369 + 10143712656 = 5749963^2 + 100716^2 .

It is not a de Polignac number, because 33072218214025 - 2¹ = 33072218214023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33072218214023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14175831759 + ... + 14175834091.

Almost surely, 2^{33072218214025} is an apocalyptic number.

33072218214025 is the 5750845-th square number.

33072218214025 is the 2875423-rd centered octagonal number.

It is an amenable number.

33072218214025 is a deficient number, since it is larger than the sum of its proper divisors (12064906916436).

33072218214025 is an frugal number, since it uses more digits than its factorization.

33072218214025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 33072218214025 in words is "thirty-three trillion, seventy-two billion, two hundred eighteen million, two hundred fourteen thousand, twenty-five".