686112365761 has 27 divisors (see below), whose sum is σ = 718865327817. Its totient is φ = 654835868640.

The previous prime is 686112365723. The next prime is 686112365773. The reversal of 686112365761 is 167563211686.

The square root of 686112365761 is 828319.

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 15115473025 + 670996892736 = 122945^2 + 819144^2 .

It is not a de Polignac number, because 686112365761 - 2³¹ = 683964882113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 686112365699 and 686112365708.

It is not an unprimeable number, because it can be changed into a prime (686112365161) 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, 1869515800 + ... + 1869516166.

It is an arithmetic number, because the mean of its divisors is an integer number (26624641771).

Almost surely, 2^686112365761 is an apocalyptic number.

686112365761 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

686112365761 is the 828319-th square number.

686112365761 is the 414160-th centered octagonal number.

It is an amenable number.

686112365761 is a deficient number, since it is larger than the sum of its proper divisors (32752962056).

686112365761 is an frugal number, since it uses more digits than its factorization.

686112365761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 465 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 686112365761 in words is "six hundred eighty-six billion, one hundred twelve million, three hundred sixty-five thousand, seven hundred sixty-one".