4348063210401 has 45 divisors (see below), whose sum is σ = 6522421114209. Its totient is φ = 2886635493144.

The previous prime is 4348063210369. The next prime is 4348063210493. The reversal of 4348063210401 is 1040123608434.

The square root of 4348063210401 is 2085201.

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

4348063210401 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 0 + 632 + 10 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 4348063210401 - 2⁵ = 4348063210369 is a prime.

It is a super-3 number, since 3×4348063210401³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4348063210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8313696126 + ... + 8313696648.

Almost surely, 2^{4348063210401} is an apocalyptic number.

4348063210401 is the 2085201-st square number.

4348063210401 is the 1042601-st centered octagonal number.

It is an amenable number.

4348063210401 is a deficient number, since it is larger than the sum of its proper divisors (2174357903808).

4348063210401 is an frugal number, since it uses more digits than its factorization.

4348063210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 4348063210401 by its sum of digits (36), we get a square (156530275574436 = 12511206²).

Adding to 4348063210401 its reverse (1040123608434), we get a palindrome (5388186818835).

The spelling of 4348063210401 in words is "four trillion, three hundred forty-eight billion, sixty-three million, two hundred ten thousand, four hundred one".