10146828686561 has 16 divisors (see below), whose sum is σ = 11727081632640. Its totient is φ = 8599731603840.

The previous prime is 10146828686557. The next prime is 10146828686591. The reversal of 10146828686561 is 16568682864101.

It is a cyclic number.

It is not a de Polignac number, because 10146828686561 - 2² = 10146828686557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10146828686494 and 10146828686503.

It is not an unprimeable number, because it can be changed into a prime (10146828686591) 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 15 ways as a sum of consecutive naturals, for example, 19719356 + ... + 20227373.

It is an arithmetic number, because the mean of its divisors is an integer number (732942602040).

Almost surely, 2^{10146828686561} is an apocalyptic number.

It is an amenable number.

10146828686561 is a deficient number, since it is larger than the sum of its proper divisors (1580252946079).

10146828686561 is a wasteful number, since it uses less digits than its factorization.

10146828686561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39947144.

The product of its (nonzero) digits is 26542080, while the sum is 62.

The spelling of 10146828686561 in words is "ten trillion, one hundred forty-six billion, eight hundred twenty-eight million, six hundred eighty-six thousand, five hundred sixty-one".