34585336085361 has 16 divisors (see below), whose sum is σ = 48860429753664. Its totient is φ = 21685459510784.

The previous prime is 34585336085359. The next prime is 34585336085383. The reversal of 34585336085361 is 16358063358543.

It is a cyclic number.

It is not a de Polignac number, because 34585336085361 - 2¹ = 34585336085359 is a prime.

It is a super-2 number, since 2×34585336085361² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34585336085295 and 34585336085304.

It is not an unprimeable number, because it can be changed into a prime (34585336085351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236543751 + ... + 236689916.

It is an arithmetic number, because the mean of its divisors is an integer number (3053776859604).

Almost surely, 2^{34585336085361} is an apocalyptic number.

It is an amenable number.

34585336085361 is a deficient number, since it is larger than the sum of its proper divisors (14275093668303).

34585336085361 is a wasteful number, since it uses less digits than its factorization.

34585336085361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473235120.

The product of its (nonzero) digits is 93312000, while the sum is 60.

The spelling of 34585336085361 in words is "thirty-four trillion, five hundred eighty-five billion, three hundred thirty-six million, eighty-five thousand, three hundred sixty-one".