10677346999641 has 297 divisors, whose sum is σ = 19967863196541. Its totient is φ = 5691620680704.

The previous prime is 10677346999633. The next prime is 10677346999661. The reversal of 10677346999641 is 14699964377601.

The square root of 10677346999641 is 3267621.

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

10677346999641 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 73 + 469 + 9 + 96 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1302727759641 + 9374619240000 = 1141371^2 + 3061800^2 .

It is not a de Polignac number, because 10677346999641 - 2³ = 10677346999633 is a prime.

It is a super-2 number, since 2×10677346999641² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10677346999641.

It is not an unprimeable number, because it can be changed into a prime (10677346999661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 94489796401 + ... + 94489796513.

Almost surely, 2^{10677346999641} is an apocalyptic number.

10677346999641 is the 3267621-st square number.

10677346999641 is the 1633811-st centered octagonal number.

It is an amenable number.

10677346999641 is a deficient number, since it is larger than the sum of its proper divisors (9290516196900).

10677346999641 is an frugal number, since it uses more digits than its factorization.

10677346999641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 10677346999641 in words is "ten trillion, six hundred seventy-seven billion, three hundred forty-six million, nine hundred ninety-nine thousand, six hundred forty-one".