3456313214125 has 32 divisors (see below), whose sum is σ = 4325402491488. Its totient is φ = 2757410726400.

The previous prime is 3456313214117. The next prime is 3456313214201. The reversal of 3456313214125 is 5214123136543.

It can be written as a sum of positive squares in 16 ways, for example, as 3301583484676 + 154729729449 = 1817026^2 + 393357^2 .

It is not a de Polignac number, because 3456313214125 - 2³ = 3456313214117 is a prime.

It is a super-2 number, since 2×3456313214125² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 337097499 + ... + 337107751.

It is an arithmetic number, because the mean of its divisors is an integer number (135168827859).

Almost surely, 2^{3456313214125} is an apocalyptic number.

It is an amenable number.

3456313214125 is a deficient number, since it is larger than the sum of its proper divisors (869089277363).

3456313214125 is a wasteful number, since it uses less digits than its factorization.

3456313214125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17458 (or 17448 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The spelling of 3456313214125 in words is "three trillion, four hundred fifty-six billion, three hundred thirteen million, two hundred fourteen thousand, one hundred twenty-five".