4688606371761 has 189 divisors, whose sum is σ = 7905229525467. Its totient is φ = 2778190889760.

The previous prime is 4688606371721. The next prime is 4688606371763. The reversal of 4688606371761 is 1671736068864.

It is a happy number.

The square root of 4688606371761 is 2165319.

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

4688606371761 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 606 + 3 + 7 + 17 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 693580824225 + 3995025547536 = 832815^2 + 1998756^2 .

It is not a de Polignac number, because 4688606371761 - 2⁷ = 4688606371633 is a prime.

It is a super-2 number, since 2×4688606371761² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4688606371763) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 23560835940 + ... + 23560836138.

Almost surely, 2^{4688606371761} is an apocalyptic number.

4688606371761 is the 2165319-th square number.

4688606371761 is the 1082660-th centered octagonal number.

It is an amenable number.

4688606371761 is a deficient number, since it is larger than the sum of its proper divisors (3216623153706).

4688606371761 is an frugal number, since it uses more digits than its factorization.

4688606371761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4688606371761 in words is "four trillion, six hundred eighty-eight billion, six hundred six million, three hundred seventy-one thousand, seven hundred sixty-one".