10681824348287 has 8 divisors (see below), whose sum is σ = 11072152029312. Its totient is φ = 10294356211200.

The previous prime is 10681824348233. The next prime is 10681824348289. The reversal of 10681824348287 is 78284342818601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10681824348287 - 2³⁴ = 10664644479103 is a prime.

It is a super-2 number, since 2×10681824348287² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681824348289) 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 7 ways as a sum of consecutive naturals, for example, 714878378 + ... + 714893319.

It is an arithmetic number, because the mean of its divisors is an integer number (1384019003664).

Almost surely, 2^{10681824348287} is an apocalyptic number.

10681824348287 is a deficient number, since it is larger than the sum of its proper divisors (390327681025).

10681824348287 is a wasteful number, since it uses less digits than its factorization.

10681824348287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429771969.

The product of its (nonzero) digits is 33030144, while the sum is 62.

The spelling of 10681824348287 in words is "ten trillion, six hundred eighty-one billion, eight hundred twenty-four million, three hundred forty-eight thousand, two hundred eighty-seven".