10645441000345 has 32 divisors (see below), whose sum is σ = 13782139126560. Its totient is φ = 7863609262080.

The previous prime is 10645441000301. The next prime is 10645441000361. The reversal of 10645441000345 is 54300014454601.

It can be written as a sum of positive squares in 16 ways, for example, as 3558233323584 + 7087207676761 = 1886328^2 + 2662181^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10645441000345 is a prime.

It is a super-2 number, since 2×10645441000345² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71505585 + ... + 71654305.

It is an arithmetic number, because the mean of its divisors is an integer number (430691847705).

Almost surely, 2^{10645441000345} is an apocalyptic number.

It is an amenable number.

10645441000345 is a deficient number, since it is larger than the sum of its proper divisors (3136698126215).

10645441000345 is a wasteful number, since it uses less digits than its factorization.

10645441000345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164685.

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 10645441000345 its reverse (54300014454601), we get a palindrome (64945455454946).

The spelling of 10645441000345 in words is "ten trillion, six hundred forty-five billion, four hundred forty-one million, three hundred forty-five", and thus it is an aban number.