348148764975025 has 243 divisors, whose sum is σ = 538327200467043. Its totient is φ = 222686897126400.

The previous prime is 348148764974981. The next prime is 348148764975041. The reversal of 348148764975025 is 520579467841843.

The square root of 348148764975025 is 18658745.

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 174626948193201 + 173521816781824 = 13214649^2 + 13172768^2 .

It is not a de Polignac number, because 348148764975025 - 2⁷ = 348148764974897 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 587097411129 + ... + 587097411721.

It is a 1-persistent number, because it is pandigital, but 2⋅348148764975025 = 696297529950050 is not.

Almost surely, 2^{348148764975025} is an apocalyptic number.

348148764975025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

348148764975025 is the 18658745-th square number.

348148764975025 is the 9329373-rd centered octagonal number.

It is an amenable number.

348148764975025 is a deficient number, since it is larger than the sum of its proper divisors (190178435492018).

348148764975025 is an frugal number, since it uses more digits than its factorization.

348148764975025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 73.

The spelling of 348148764975025 in words is "three hundred forty-eight trillion, one hundred forty-eight billion, seven hundred sixty-four million, nine hundred seventy-five thousand, twenty-five".