34066121351161 has 9 divisors (see below), whose sum is σ = 34210654679343. Its totient is φ = 33922196163240.

The previous prime is 34066121351123. The next prime is 34066121351167. The reversal of 34066121351161 is 16115312166043.

It is a happy number.

The square root of 34066121351161 is 5836619.

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., 2789846761 + 34063331504400 = 52819^2 + 5836380^2 .

It is not a de Polignac number, because 34066121351161 - 2³⁷ = 33928682397689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34066121351167) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1394939731 + ... + 1394964151.

Almost surely, 2^{34066121351161} is an apocalyptic number.

34066121351161 is the 5836619-th square number.

34066121351161 is the 2918310-th centered octagonal number.

It is an amenable number.

34066121351161 is a deficient number, since it is larger than the sum of its proper divisors (144533328182).

34066121351161 is an frugal number, since it uses more digits than its factorization.

34066121351161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49320 (or 24660 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 34066121351161 in words is "thirty-four trillion, sixty-six billion, one hundred twenty-one million, three hundred fifty-one thousand, one hundred sixty-one".