36034748381025 has 81 divisors (see below), whose sum is σ = 64981446636171. Its totient is φ = 19088629822080.

The previous prime is 36034748381003. The next prime is 36034748381033. The reversal of 36034748381025 is 52018384743063.

It is a happy number.

The square root of 36034748381025 is 6002895.

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

36034748381025 is a `hidden beast` number, since 3 + 60 + 3 + 4 + 7 + 483 + 81 + 0 + 25 = 666.

36034748381025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 12623588714961 + 23411159666064 = 3552969^2 + 4838508^2 .

It is not a de Polignac number, because 36034748381025 - 2⁵ = 36034748380993 is a prime.

It is a super-4 number, since 4×36034748381025⁴ (a number of 55 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14136816451 + ... + 14136818999.

Almost surely, 2^{36034748381025} is an apocalyptic number.

36034748381025 is the 6002895-th square number.

36034748381025 is the 3001448-th centered octagonal number.

It is an amenable number.

36034748381025 is a deficient number, since it is larger than the sum of its proper divisors (28946698255146).

36034748381025 is an frugal number, since it uses more digits than its factorization.

36034748381025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 36034748381025 in words is "thirty-six trillion, thirty-four billion, seven hundred forty-eight million, three hundred eighty-one thousand, twenty-five".