1468680868641 has 64 divisors (see below), whose sum is σ = 2428655685120. Its totient is φ = 770225111040.

The previous prime is 1468680868631. The next prime is 1468680868673.

1468680868641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1468680868641 - 2¹⁰ = 1468680867617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1468680868631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30259705 + ... + 30308201.

It is an arithmetic number, because the mean of its divisors is an integer number (37947745080).

Almost surely, 2^{1468680868641} is an apocalyptic number.

It is an amenable number.

1468680868641 is a deficient number, since it is larger than the sum of its proper divisors (959974816479).

1468680868641 is a wasteful number, since it uses less digits than its factorization.

1468680868641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50634.

The product of its (nonzero) digits is 84934656, while the sum is 66.

The spelling of 1468680868641 in words is "one trillion, four hundred sixty-eight billion, six hundred eighty million, eight hundred sixty-eight thousand, six hundred forty-one".