33964647025 has 81 divisors (see below), whose sum is σ = 46197063939. Its totient is φ = 24769248000.

The previous prime is 33964646977. The next prime is 33964647029. The reversal of 33964647025 is 52074646933.

The square root of 33964647025 is 184295.

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

It can be written as a sum of positive squares in 13 ways, for example, as 33599989809 + 364657216 = 183303^2 + 19096^2 .

It is not a de Polignac number, because 33964647025 - 2⁷ = 33964646897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33964647025.

It is not an unprimeable number, because it can be changed into a prime (33964647029) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 828406005 + ... + 828406045.

Almost surely, 2^33964647025 is an apocalyptic number.

33964647025 is the 184295-th square number.

33964647025 is the 92148-th centered octagonal number.

It is an amenable number.

33964647025 is a deficient number, since it is larger than the sum of its proper divisors (12232416914).

33964647025 is an equidigital number, since it uses as much as digits as its factorization.

33964647025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 49.

Multiplying 33964647025 by its sum of digits (49), we get a square (1664267704225 = 1290065²).

The spelling of 33964647025 in words is "thirty-three billion, nine hundred sixty-four million, six hundred forty-seven thousand, twenty-five".