8106816756001 has 8 divisors (see below), whose sum is σ = 8260537208040. Its totient is φ = 7953124513152.

The previous prime is 8106816755963. The next prime is 8106816756013. The reversal of 8106816756001 is 1006576186018.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2039758096401 + 6067058659600 = 1428201^2 + 2463140^2 .

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 8106816756001 - 2¹¹ = 8106816753953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8106816759001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6471636 + ... + 7622053.

It is an arithmetic number, because the mean of its divisors is an integer number (1032567151005).

Almost surely, 2^{8106816756001} is an apocalyptic number.

It is an amenable number.

8106816756001 is a deficient number, since it is larger than the sum of its proper divisors (153720452039).

8106816756001 is a wasteful number, since it uses less digits than its factorization.

8106816756001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14104595.

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 8106816756001 in words is "eight trillion, one hundred six billion, eight hundred sixteen million, seven hundred fifty-six thousand, one".