34193127605121 has 45 divisors (see below), whose sum is σ = 51813834672369. Its totient is φ = 22471900227000.

The previous prime is 34193127605111. The next prime is 34193127605129. The reversal of 34193127605121 is 12150672139143.

The square root of 34193127605121 is 5847489.

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

34193127605121 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 3 + 1 + 27 + 605 + 12 + 1 = 666.

It is not a de Polignac number, because 34193127605121 - 2²³ = 34193119216513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34193127605129) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3736540896 + ... + 3736550046.

Almost surely, 2^{34193127605121} is an apocalyptic number.

34193127605121 is the 5847489-th square number.

34193127605121 is the 2923745-th centered octagonal number.

It is an amenable number.

34193127605121 is a deficient number, since it is larger than the sum of its proper divisors (17620707067248).

34193127605121 is an frugal number, since it uses more digits than its factorization.

34193127605121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18456 (or 9225 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 34193127605121 in words is "thirty-four trillion, one hundred ninety-three billion, one hundred twenty-seven million, six hundred five thousand, one hundred twenty-one".