172458308961 has 9 divisors (see below), whose sum is σ = 249108245841. Its totient is φ = 114971375412.

The previous prime is 172458308947. The next prime is 172458308999. The reversal of 172458308961 is 169803854271.

The square root of 172458308961 is 415281.

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

172458308961 is a `hidden beast` number, since 1 + 7 + 245 + 8 + 308 + 96 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 172458308961 - 2⁷ = 172458308833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 172458308898 and 172458308907.

It is not an unprimeable number, because it can be changed into a prime (172458308941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1176630 + ... + 1315056.

It is a 1-persistent number, because it is pandigital, but 2⋅172458308961 = 344916617922 is not.

Almost surely, 2^172458308961 is an apocalyptic number.

172458308961 is the 415281-st square number.

172458308961 is the 207641-st centered octagonal number.

It is an amenable number.

172458308961 is a deficient number, since it is larger than the sum of its proper divisors (76649936880).

172458308961 is an frugal number, since it uses more digits than its factorization.

172458308961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276860 (or 138430 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 172458308961 in words is "one hundred seventy-two billion, four hundred fifty-eight million, three hundred eight thousand, nine hundred sixty-one".