173936541249 has 81 divisors (see below), whose sum is σ = 266533409961. Its totient is φ = 109302298560.

The previous prime is 173936541179. The next prime is 173936541269. The reversal of 173936541249 is 942145639371.

The square root of 173936541249 is 417057.

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

173936541249 is a `hidden beast` number, since 1 + 7 + 3 + 93 + 6 + 541 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23367708225 + 150568833024 = 152865^2 + 388032^2 .

It is not a de Polignac number, because 173936541249 - 2¹⁷ = 173936410177 is a prime.

Its product of digits (4898880) is a multiple of the sum of its prime divisors (160).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 173936541195 and 173936541204.

It is not an unprimeable number, because it can be changed into a prime (173936541269) 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, 2851418679 + ... + 2851418739.

Almost surely, 2^173936541249 is an apocalyptic number.

173936541249 is the 417057-th square number.

173936541249 is the 208529-th centered octagonal number.

It is an amenable number.

173936541249 is a deficient number, since it is larger than the sum of its proper divisors (92596868712).

173936541249 is an frugal number, since it uses more digits than its factorization.

173936541249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 173936541249 in words is "one hundred seventy-three billion, nine hundred thirty-six million, five hundred forty-one thousand, two hundred forty-nine".