4600505924641 has 9 divisors (see below), whose sum is σ = 5056780379763. Its totient is φ = 4182256664520.

The previous prime is 4600505924627. The next prime is 4600505924671. The reversal of 4600505924641 is 1464295050064.

The square root of 4600505924641 is 2144879.

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

It can be written as a sum of positive squares in only one way, i.e., 86835713041 + 4513670211600 = 294679^2 + 2124540^2 .

It is not a de Polignac number, because 4600505924641 - 2³¹ = 4598358440993 is a prime.

It is a super-3 number, since 3×4600505924641³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4600505924591 and 4600505924600.

It is not an unprimeable number, because it can be changed into a prime (4600505924621) 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 8 ways as a sum of consecutive naturals, for example, 23496175 + ... + 23691163.

Almost surely, 2^{4600505924641} is an apocalyptic number.

4600505924641 is the 2144879-th square number.

4600505924641 is the 1072440-th centered octagonal number.

It is an amenable number.

4600505924641 is a deficient number, since it is larger than the sum of its proper divisors (456274455122).

4600505924641 is an frugal number, since it uses more digits than its factorization.

4600505924641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390000 (or 195000 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 4600505924641 in words is "four trillion, six hundred billion, five hundred five million, nine hundred twenty-four thousand, six hundred forty-one".