3134440089225 has 45 divisors (see below), whose sum is σ = 5806214134743. Its totient is φ = 1671658890480.

The previous prime is 3134440089223. The next prime is 3134440089229. The reversal of 3134440089225 is 5229800444313.

The square root of 3134440089225 is 1770435.

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

3134440089225 is a `hidden beast` number, since 3 + 1 + 344 + 4 + 0 + 0 + 89 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1128398432121 + 2006041657104 = 1062261^2 + 1416348^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 3134440089225 - 2¹ = 3134440089223 is a prime.

It is a super-2 number, since 2×3134440089225² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3134440089223) 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 44 ways as a sum of consecutive naturals, for example, 79649904 + ... + 79689246.

Almost surely, 2^{3134440089225} is an apocalyptic number.

3134440089225 is the 1770435-th square number.

3134440089225 is the 885218-th centered octagonal number.

It is an amenable number.

3134440089225 is a deficient number, since it is larger than the sum of its proper divisors (2671774045518).

3134440089225 is an frugal number, since it uses more digits than its factorization.

3134440089225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78708 (or 39351 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3134440089225 in words is "three trillion, one hundred thirty-four billion, four hundred forty million, eighty-nine thousand, two hundred twenty-five".