3412114590481 has 9 divisors (see below), whose sum is σ = 3420037043451. Its totient is φ = 3404210460192.

The previous prime is 3412114590457. The next prime is 3412114590491. The reversal of 3412114590481 is 1840954112143.

The square root of 3412114590481 is 1847191.

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

It can be written as a sum of positive squares in only one way, i.e., 618590115025 + 2793524475456 = 786505^2 + 1671384^2 .

It is not a de Polignac number, because 3412114590481 - 2⁵ = 3412114590449 is a prime.

It is a super-2 number, since 2×3412114590481² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3412114590491) 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 8 ways as a sum of consecutive naturals, for example, 899580121 + ... + 899583913.

It is an arithmetic number, because the mean of its divisors is an integer number (380004115939).

Almost surely, 2^{3412114590481} is an apocalyptic number.

3412114590481 is the 1847191-st square number.

3412114590481 is the 923596-th centered octagonal number.

It is an amenable number.

3412114590481 is a deficient number, since it is larger than the sum of its proper divisors (7922452970).

3412114590481 is an frugal number, since it uses more digits than its factorization.

3412114590481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8560 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 3412114590481 in words is "three trillion, four hundred twelve billion, one hundred fourteen million, five hundred ninety thousand, four hundred eighty-one".