314206212681 has 81 divisors (see below), whose sum is σ = 500640183381. Its totient is φ = 189848510208.

The previous prime is 314206212679. The next prime is 314206212721. The reversal of 314206212681 is 186212602413.

It is a happy number.

The square root of 314206212681 is 560541.

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

314206212681 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 0 + 621 + 26 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31058775225 + 283147437456 = 176235^2 + 532116^2 .

It is not a de Polignac number, because 314206212681 - 2¹ = 314206212679 is a prime.

It is a super-2 number, since 2×314206212681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314206212631) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 829039950 + ... + 829040328.

Almost surely, 2^314206212681 is an apocalyptic number.

314206212681 is the 560541-st square number.

314206212681 is the 280271-st centered octagonal number.

It is an amenable number.

314206212681 is a deficient number, since it is larger than the sum of its proper divisors (186433970700).

314206212681 is an equidigital number, since it uses as much as digits as its factorization.

314206212681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 314206212681 by its sum of digits (36), we get a square (11311423656516 = 3363246²).

The spelling of 314206212681 in words is "three hundred fourteen billion, two hundred six million, two hundred twelve thousand, six hundred eighty-one".