10674014286321 has 135 divisors (see below), whose sum is σ = 17331307943521. Its totient is φ = 6328890607872.

The previous prime is 10674014286269. The next prime is 10674014286337. The reversal of 10674014286321 is 12368241047601.

The square root of 10674014286321 is 3267111.

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

10674014286321 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 4 + 0 + 1 + 4 + 2 + 8 + 632 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1055109024225 + 9618905262096 = 1027185^2 + 3101436^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10674014286321 is a prime.

It is a super-2 number, since 2×10674014286321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10674014286391) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 227106686920 + ... + 227106686966.

Almost surely, 2^{10674014286321} is an apocalyptic number.

10674014286321 is the 3267111-st square number.

10674014286321 is the 1633556-th centered octagonal number.

It is an amenable number.

10674014286321 is a deficient number, since it is larger than the sum of its proper divisors (6657293657200).

10674014286321 is an frugal number, since it uses more digits than its factorization.

10674014286321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10674014286321 in words is "ten trillion, six hundred seventy-four billion, fourteen million, two hundred eighty-six thousand, three hundred twenty-one".