679872144264561 has 12 divisors (see below), whose sum is σ = 982057580254660. Its totient is φ = 453238847619840.

The previous prime is 679872144264527. The next prime is 679872144264623. The reversal of 679872144264561 is 165462441278976.

679872144264561 is a `hidden beast` number, since 6 + 7 + 9 + 8 + 7 + 2 + 14 + 42 + 6 + 4 + 561 = 666.

679872144264561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 200620142433936 + 479252001830625 = 14164044^2 + 21891825^2 .

It is not a de Polignac number, because 679872144264561 - 2⁶ = 679872144264497 is a prime.

It is a super-2 number, since 2×679872144264561² (a number of 30 digits) contains 22 as substring.

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 679872144264561.

It is not an unprimeable number, because it can be changed into a prime (679872144264961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 770247460 + ... + 771129621.

Almost surely, 2^{679872144264561} is an apocalyptic number.

It is an amenable number.

679872144264561 is a deficient number, since it is larger than the sum of its proper divisors (302185435990099).

679872144264561 is a wasteful number, since it uses less digits than its factorization.

679872144264561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541426096 (or 1541426093 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 679872144264561 in words is "six hundred seventy-nine trillion, eight hundred seventy-two billion, one hundred forty-four million, two hundred sixty-four thousand, five hundred sixty-one".