4860177385561 has 9 divisors (see below), whose sum is σ = 4867041103101. Its totient is φ = 4853323343232.

The previous prime is 4860177385519. The next prime is 4860177385601. The reversal of 4860177385561 is 1655837710684.

The square root of 4860177385561 is 2204581.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3640963913161 + 1219213472400 = 1908131^2 + 1104180^2 .

It is not a de Polignac number, because 4860177385561 - 2³⁵ = 4825817647193 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 4860177385561.

It is not an unprimeable number, because it can be changed into a prime (4860177385501) 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, 2409606025 + ... + 2409608041.

It is an arithmetic number, because the mean of its divisors is an integer number (540782344789).

Almost surely, 2^{4860177385561} is an apocalyptic number.

4860177385561 is the 2204581-st square number.

4860177385561 is the 1102291-st centered octagonal number.

It is an amenable number.

4860177385561 is a deficient number, since it is larger than the sum of its proper divisors (6863717540).

4860177385561 is an frugal number, since it uses more digits than its factorization.

4860177385561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 61.

The spelling of 4860177385561 in words is "four trillion, eight hundred sixty billion, one hundred seventy-seven million, three hundred eighty-five thousand, five hundred sixty-one".