4726584713041 has 3 divisors (see below), whose sum is σ = 4726586887113. Its totient is φ = 4726582538970.

The previous prime is 4726584713027. The next prime is 4726584713129. The reversal of 4726584713041 is 1403174856274.

The square root of 4726584713041 is 2174071.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 4726584713041 - 2⁹ = 4726584712529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4726584713041.

It is not an unprimeable number, because it can be changed into a prime (4726584713441) 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 2 ways as a sum of consecutive naturals, for example, 1087036 + ... + 3261106.

It is an arithmetic number, because the mean of its divisors is an integer number (1575528962371).

Almost surely, 2^{4726584713041} is an apocalyptic number.

4726584713041 is the 2174071-st square number.

4726584713041 is the 1087036-th centered octagonal number.

It is an amenable number.

4726584713041 is a deficient number, since it is larger than the sum of its proper divisors (2174072).

4726584713041 is an frugal number, since it uses more digits than its factorization.

4726584713041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348142 (or 2174071 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 4726584713041 in words is "four trillion, seven hundred twenty-six billion, five hundred eighty-four million, seven hundred thirteen thousand, forty-one".