34586125714009 has 81 divisors (see below), whose sum is σ = 38795537878461. Its totient is φ = 30825833875200.

The previous prime is 34586125714001. The next prime is 34586125714031. The reversal of 34586125714009 is 90041752168543.

The square root of 34586125714009 is 5880997.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3418782510025 + 31167343203984 = 1848995^2 + 5582772^2 .

It is not a de Polignac number, because 34586125714009 - 2³ = 34586125714001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34586125714001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 229047190084 + ... + 229047190234.

It is a 1-persistent number, because it is pandigital, but 2⋅34586125714009 = 69172251428018 is not.

Almost surely, 2^{34586125714009} is an apocalyptic number.

34586125714009 is the 5880997-th square number.

34586125714009 is the 2940499-th centered octagonal number.

It is an amenable number.

34586125714009 is a deficient number, since it is larger than the sum of its proper divisors (4209412164452).

34586125714009 is an frugal number, since it uses more digits than its factorization.

34586125714009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 34586125714009 in words is "thirty-four trillion, five hundred eighty-six billion, one hundred twenty-five million, seven hundred fourteen thousand, nine".