348809541201 has 45 divisors (see below), whose sum is σ = 554557009305. Its totient is φ = 211269789720.

The previous prime is 348809541191. The next prime is 348809541203. The reversal of 348809541201 is 102145908843.

The square root of 348809541201 is 590601.

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

348809541201 is a `hidden beast` number, since 3 + 4 + 8 + 80 + 9 + 541 + 20 + 1 = 666.

It is not a de Polignac number, because 348809541201 - 2⁹ = 348809540689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (348809541203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 214387350 + ... + 214388976.

Almost surely, 2^348809541201 is an apocalyptic number.

348809541201 is the 590601-st square number.

348809541201 is the 295301-st centered octagonal number.

It is an amenable number.

348809541201 is a deficient number, since it is larger than the sum of its proper divisors (205747468104).

348809541201 is an frugal number, since it uses more digits than its factorization.

348809541201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 348809541201 in words is "three hundred forty-eight billion, eight hundred nine million, five hundred forty-one thousand, two hundred one".