34172110449 has 27 divisors (see below), whose sum is σ = 50569600107. Its totient is φ = 22236078816.

The previous prime is 34172110439. The next prime is 34172110471. The reversal of 34172110449 is 94401127143.

The square root of 34172110449 is 184857.

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

34172110449 is a `hidden beast` number, since 34 + 1 + 72 + 110 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28340039025 + 5832071424 = 168345^2 + 76368^2 .

It is not a de Polignac number, because 34172110449 - 2¹¹ = 34172108401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34172110439) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23845837 + ... + 23847269.

Almost surely, 2^34172110449 is an apocalyptic number.

34172110449 is the 184857-th square number.

34172110449 is the 92429-th centered octagonal number.

It is an amenable number.

34172110449 is a deficient number, since it is larger than the sum of its proper divisors (16397489658).

34172110449 is an frugal number, since it uses more digits than its factorization.

34172110449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 34172110449 by its sum of digits (36), we get a square (1230195976164 = 1109142²).

The spelling of 34172110449 in words is "thirty-four billion, one hundred seventy-two million, one hundred ten thousand, four hundred forty-nine".