10867947375649 has 81 divisors (see below), whose sum is σ = 14549064409881. Its totient is φ = 8089205080320.

The previous prime is 10867947375647. The next prime is 10867947375661. The reversal of 10867947375649 is 94657374976801.

The square root of 10867947375649 is 3296657.

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 98129948049 + 10769817427600 = 313257^2 + 3281740^2 .

It is not a de Polignac number, because 10867947375649 - 2¹ = 10867947375647 is a prime.

It is a super-2 number, since 2×10867947375649² (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 (10867947375647) 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, 5099927314 + ... + 5099929444.

Almost surely, 2^{10867947375649} is an apocalyptic number.

10867947375649 is the 3296657-th square number.

10867947375649 is the 1648329-th centered octagonal number.

It is an amenable number.

10867947375649 is a deficient number, since it is larger than the sum of its proper divisors (3681117034232).

10867947375649 is an frugal number, since it uses more digits than its factorization.

10867947375649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 76.

The spelling of 10867947375649 in words is "ten trillion, eight hundred sixty-seven billion, nine hundred forty-seven million, three hundred seventy-five thousand, six hundred forty-nine".