4600128433681 has 9 divisors (see below), whose sum is σ = 5056365450619. Its totient is φ = 4181913491800.

The previous prime is 4600128433669. The next prime is 4600128433697. The reversal of 4600128433681 is 1863348210064.

The square root of 4600128433681 is 2144791.

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., 751704606081 + 3848423827600 = 867009^2 + 1961740^2 .

It is not a de Polignac number, because 4600128433681 - 2¹⁹ = 4600127909393 is a prime.

It is a super-2 number, since 2×4600128433681² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4600128433601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23495211 + ... + 23690191.

Almost surely, 2^{4600128433681} is an apocalyptic number.

4600128433681 is the 2144791-st square number.

4600128433681 is the 1072396-th centered octagonal number.

It is an amenable number.

4600128433681 is a deficient number, since it is larger than the sum of its proper divisors (456237016938).

4600128433681 is an frugal number, since it uses more digits than its factorization.

4600128433681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389984 (or 194992 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 4600128433681 in words is "four trillion, six hundred billion, one hundred twenty-eight million, four hundred thirty-three thousand, six hundred eighty-one".