348389160025 has 27 divisors (see below), whose sum is σ = 436861072119. Its totient is φ = 275611361280.

The previous prime is 348389160011. The next prime is 348389160083. The reversal of 348389160025 is 520061983843.

The square root of 348389160025 is 590245.

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

It can be written as a sum of positive squares in 13 ways, for example, as 289182591049 + 59206568976 = 537757^2 + 243324^2 .

It is not a de Polignac number, because 348389160025 - 2⁷ = 348389159897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 286268217 + ... + 286269433.

Almost surely, 2^348389160025 is an apocalyptic number.

348389160025 is the 590245-th square number.

348389160025 is the 295123-rd centered octagonal number.

It is an amenable number.

348389160025 is a deficient number, since it is larger than the sum of its proper divisors (88471912094).

348389160025 is an frugal number, since it uses more digits than its factorization.

348389160025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 348389160025 by its sum of digits (49), we get a square (17071068841225 = 4131715²).

The spelling of 348389160025 in words is "three hundred forty-eight billion, three hundred eighty-nine million, one hundred sixty thousand, twenty-five".