4086628014681 has 27 divisors (see below), whose sum is σ = 6099746570463. Its totient is φ = 2636412910560.

The previous prime is 4086628014673. The next prime is 4086628014691. The reversal of 4086628014681 is 1864108266804.

It is a happy number.

The square root of 4086628014681 is 2021541.

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

4086628014681 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 628 + 0 + 1 + 4 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 231625625625 + 3855002389056 = 481275^2 + 1963416^2 .

It is not a de Polignac number, because 4086628014681 - 2³ = 4086628014673 is a prime.

It is a super-2 number, since 2×4086628014681² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4086628014691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 187992445 + ... + 188014181.

Almost surely, 2^{4086628014681} is an apocalyptic number.

4086628014681 is the 2021541-st square number.

4086628014681 is the 1010771-st centered octagonal number.

It is an amenable number.

4086628014681 is a deficient number, since it is larger than the sum of its proper divisors (2013118555782).

4086628014681 is an frugal number, since it uses more digits than its factorization.

4086628014681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43542 (or 21771 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 4086628014681 in words is "four trillion, eighty-six billion, six hundred twenty-eight million, fourteen thousand, six hundred eighty-one".